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Finding the Fourth Proportional to 16,474.92, 24,716.30 and 5,381.62

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Solution

The fourth proportional to 16,474.92, 24,716.30 and 5,381.62 is: 8,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.92 : 24,716.30 = 5,381.62 : x
  2. Step 2: Convert to fraction form
    16,474.92/24,716.30 = 5,381.62/x
  3. Step 3: Cross multiply
    16,474.92x = 24,716.30 × 5,381.62
  4. Step 4: Simplify right side
    16,474.92x = 133,013,734.41
  5. Step 5: Solve for x
    x = 133,013,734.41/16,474.92
  6. Step 6: Final answer
    x = 8,073.71

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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.