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Finding the Fourth Proportional to 24,507.60, 36,712.80 and 14,107.20

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Solution

The fourth proportional to 24,507.60, 36,712.80 and 14,107.20 is: 21,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.60 : 36,712.80 = 14,107.20 : x
  2. Step 2: Convert to fraction form
    24,507.60/36,712.80 = 14,107.20/x
  3. Step 3: Cross multiply
    24,507.60x = 36,712.80 × 14,107.20
  4. Step 4: Simplify right side
    24,507.60x = 517,914,812.16
  5. Step 5: Solve for x
    x = 517,914,812.16/24,507.60
  6. Step 6: Final answer
    x = 21,132.82

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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.