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Finding the Fourth Proportional to 16,220.40, 22,384.14 and 8,768.40

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Solution

The fourth proportional to 16,220.40, 22,384.14 and 8,768.40 is: 12,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.40 : 22,384.14 = 8,768.40 : x
  2. Step 2: Convert to fraction form
    16,220.40/22,384.14 = 8,768.40/x
  3. Step 3: Cross multiply
    16,220.40x = 22,384.14 × 8,768.40
  4. Step 4: Simplify right side
    16,220.40x = 196,273,093.18
  5. Step 5: Solve for x
    x = 196,273,093.18/16,220.40
  6. Step 6: Final answer
    x = 12,100.39

Related Problems

Find fourth proportional to 8,110.20, 11,192.07 and 4,384.20
Half scale
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Double scale
Find fourth proportional to 16,221.40, 22,385.52 and 8,769.40
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.