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Finding the Fourth Proportional to 15,502.29, 23,239.76 and 5,639.85

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Solution

The fourth proportional to 15,502.29, 23,239.76 and 5,639.85 is: 8,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502.29 : 23,239.76 = 5,639.85 : x
  2. Step 2: Convert to fraction form
    15,502.29/23,239.76 = 5,639.85/x
  3. Step 3: Cross multiply
    15,502.29x = 23,239.76 × 5,639.85
  4. Step 4: Simplify right side
    15,502.29x = 131,068,732.24
  5. Step 5: Solve for x
    x = 131,068,732.24/15,502.29
  6. Step 6: Final answer
    x = 8,454.80

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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.