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Finding the Fourth Proportional to 16,232.76, 22,401.07 and 8,780.76

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Solution

The fourth proportional to 16,232.76, 22,401.07 and 8,780.76 is: 12,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.76 : 22,401.07 = 8,780.76 : x
  2. Step 2: Convert to fraction form
    16,232.76/22,401.07 = 8,780.76/x
  3. Step 3: Cross multiply
    16,232.76x = 22,401.07 × 8,780.76
  4. Step 4: Simplify right side
    16,232.76x = 196,698,419.41
  5. Step 5: Solve for x
    x = 196,698,419.41/16,232.76
  6. Step 6: Final answer
    x = 12,117.37

Related Problems

Find fourth proportional to 8,116.38, 11,200.54 and 4,390.38
Half scale
Find fourth proportional to 32,465.52, 44,802.14 and 17,561.52
Double scale
Find fourth proportional to 16,233.76, 22,402.45 and 8,781.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.