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Finding the Fourth Proportional to 24,154.80, 36,232.20 and 13,657.20

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Solution

The fourth proportional to 24,154.80, 36,232.20 and 13,657.20 is: 20,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,154.80 : 36,232.20 = 13,657.20 : x
  2. Step 2: Convert to fraction form
    24,154.80/36,232.20 = 13,657.20/x
  3. Step 3: Cross multiply
    24,154.80x = 36,232.20 × 13,657.20
  4. Step 4: Simplify right side
    24,154.80x = 494,830,401.84
  5. Step 5: Solve for x
    x = 494,830,401.84/24,154.80
  6. Step 6: Final answer
    x = 20,485.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.