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Finding the Fourth Proportional to 16,219.78, 24,331.92 and 5,687.36

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Solution

The fourth proportional to 16,219.78, 24,331.92 and 5,687.36 is: 8,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.78 : 24,331.92 = 5,687.36 : x
  2. Step 2: Convert to fraction form
    16,219.78/24,331.92 = 5,687.36/x
  3. Step 3: Cross multiply
    16,219.78x = 24,331.92 × 5,687.36
  4. Step 4: Simplify right side
    16,219.78x = 138,384,388.53
  5. Step 5: Solve for x
    x = 138,384,388.53/16,219.78
  6. Step 6: Final answer
    x = 8,531.83

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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.