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Finding the Fourth Proportional to 16,183.92, 24,280.68 and 5,092.14

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Solution

The fourth proportional to 16,183.92, 24,280.68 and 5,092.14 is: 7,639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.92 : 24,280.68 = 5,092.14 : x
  2. Step 2: Convert to fraction form
    16,183.92/24,280.68 = 5,092.14/x
  3. Step 3: Cross multiply
    16,183.92x = 24,280.68 × 5,092.14
  4. Step 4: Simplify right side
    16,183.92x = 123,640,621.86
  5. Step 5: Solve for x
    x = 123,640,621.86/16,183.92
  6. Step 6: Final answer
    x = 7,639.72

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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.