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Finding the Fourth Proportional to 16,180.71, 24,278.13 and 5,658.29

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Solution

The fourth proportional to 16,180.71, 24,278.13 and 5,658.29 is: 8,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.71 : 24,278.13 = 5,658.29 : x
  2. Step 2: Convert to fraction form
    16,180.71/24,278.13 = 5,658.29/x
  3. Step 3: Cross multiply
    16,180.71x = 24,278.13 × 5,658.29
  4. Step 4: Simplify right side
    16,180.71x = 137,372,626.29
  5. Step 5: Solve for x
    x = 137,372,626.29/16,180.71
  6. Step 6: Final answer
    x = 8,489.90

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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.