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Finding the Fourth Proportional to 15,732.97, 21,711.05 and 8,659.24

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Solution

The fourth proportional to 15,732.97, 21,711.05 and 8,659.24 is: 11,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.97 : 21,711.05 = 8,659.24 : x
  2. Step 2: Convert to fraction form
    15,732.97/21,711.05 = 8,659.24/x
  3. Step 3: Cross multiply
    15,732.97x = 21,711.05 × 8,659.24
  4. Step 4: Simplify right side
    15,732.97x = 188,001,149.31
  5. Step 5: Solve for x
    x = 188,001,149.31/15,732.97
  6. Step 6: Final answer
    x = 11,949.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.