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Finding the Fourth Proportional to 16,191.92, 24,287.94 and 5,099.48

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Solution

The fourth proportional to 16,191.92, 24,287.94 and 5,099.48 is: 7,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191.92 : 24,287.94 = 5,099.48 : x
  2. Step 2: Convert to fraction form
    16,191.92/24,287.94 = 5,099.48/x
  3. Step 3: Cross multiply
    16,191.92x = 24,287.94 × 5,099.48
  4. Step 4: Simplify right side
    16,191.92x = 123,855,864.27
  5. Step 5: Solve for x
    x = 123,855,864.27/16,191.92
  6. Step 6: Final answer
    x = 7,649.24

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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.