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Finding the Fourth Proportional to 16,377.92, 24,572.64 and 7,142.72

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Solution

The fourth proportional to 16,377.92, 24,572.64 and 7,142.72 is: 10,716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,377.92 : 24,572.64 = 7,142.72 : x
  2. Step 2: Convert to fraction form
    16,377.92/24,572.64 = 7,142.72/x
  3. Step 3: Cross multiply
    16,377.92x = 24,572.64 × 7,142.72
  4. Step 4: Simplify right side
    16,377.92x = 175,515,487.18
  5. Step 5: Solve for x
    x = 175,515,487.18/16,377.92
  6. Step 6: Final answer
    x = 10,716.59

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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.