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Finding the Fourth Proportional to 15,123.24, 20,863.98 and 9,531

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Solution

The fourth proportional to 15,123.24, 20,863.98 and 9,531 is: 13,148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.24 : 20,863.98 = 9,531 : x
  2. Step 2: Convert to fraction form
    15,123.24/20,863.98 = 9,531/x
  3. Step 3: Cross multiply
    15,123.24x = 20,863.98 × 9,531
  4. Step 4: Simplify right side
    15,123.24x = 198,854,593.38
  5. Step 5: Solve for x
    x = 198,854,593.38/15,123.24
  6. Step 6: Final answer
    x = 13,148.94

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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.