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Finding the Fourth Proportional to 25,691.70, 38,539.92 and 10,105.68

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Solution

The fourth proportional to 25,691.70, 38,539.92 and 10,105.68 is: 15,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,691.70 : 38,539.92 = 10,105.68 : x
  2. Step 2: Convert to fraction form
    25,691.70/38,539.92 = 10,105.68/x
  3. Step 3: Cross multiply
    25,691.70x = 38,539.92 × 10,105.68
  4. Step 4: Simplify right side
    25,691.70x = 389,472,098.75
  5. Step 5: Solve for x
    x = 389,472,098.75/25,691.70
  6. Step 6: Final answer
    x = 15,159.45

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