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Finding the Fourth Proportional to 16,151.54, 24,227.42 and 5,057.38

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Solution

The fourth proportional to 16,151.54, 24,227.42 and 5,057.38 is: 7,586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,151.54 : 24,227.42 = 5,057.38 : x
  2. Step 2: Convert to fraction form
    16,151.54/24,227.42 = 5,057.38/x
  3. Step 3: Cross multiply
    16,151.54x = 24,227.42 × 5,057.38
  4. Step 4: Simplify right side
    16,151.54x = 122,527,183.50
  5. Step 5: Solve for x
    x = 122,527,183.50/16,151.54
  6. Step 6: Final answer
    x = 7,586.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.