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Finding the Fourth Proportional to 29,487, 40,691.24 and 16,057.96

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Solution

The fourth proportional to 29,487, 40,691.24 and 16,057.96 is: 22,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,487 : 40,691.24 = 16,057.96 : x
  2. Step 2: Convert to fraction form
    29,487/40,691.24 = 16,057.96/x
  3. Step 3: Cross multiply
    29,487x = 40,691.24 × 16,057.96
  4. Step 4: Simplify right side
    29,487x = 653,418,304.27
  5. Step 5: Solve for x
    x = 653,418,304.27/29,487
  6. Step 6: Final answer
    x = 22,159.54

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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.