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Finding the Fourth Proportional to 15,732.29, 21,710.70 and 8,658.87

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Solution

The fourth proportional to 15,732.29, 21,710.70 and 8,658.87 is: 11,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.29 : 21,710.70 = 8,658.87 : x
  2. Step 2: Convert to fraction form
    15,732.29/21,710.70 = 8,658.87/x
  3. Step 3: Cross multiply
    15,732.29x = 21,710.70 × 8,658.87
  4. Step 4: Simplify right side
    15,732.29x = 187,990,128.91
  5. Step 5: Solve for x
    x = 187,990,128.91/15,732.29
  6. Step 6: Final answer
    x = 11,949.32

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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.