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Finding the Fourth Proportional to 16,131, 24,183.42 and 5,737.08

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Solution

The fourth proportional to 16,131, 24,183.42 and 5,737.08 is: 8,600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,131 : 24,183.42 = 5,737.08 : x
  2. Step 2: Convert to fraction form
    16,131/24,183.42 = 5,737.08/x
  3. Step 3: Cross multiply
    16,131x = 24,183.42 × 5,737.08
  4. Step 4: Simplify right side
    16,131x = 138,742,215.21
  5. Step 5: Solve for x
    x = 138,742,215.21/16,131
  6. Step 6: Final answer
    x = 8,600.97

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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.