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Finding the Fourth Proportional to 18,575.92, 27,857.92 and 6,092.56

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Solution

The fourth proportional to 18,575.92, 27,857.92 and 6,092.56 is: 9,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,575.92 : 27,857.92 = 6,092.56 : x
  2. Step 2: Convert to fraction form
    18,575.92/27,857.92 = 6,092.56/x
  3. Step 3: Cross multiply
    18,575.92x = 27,857.92 × 6,092.56
  4. Step 4: Simplify right side
    18,575.92x = 169,726,049.08
  5. Step 5: Solve for x
    x = 169,726,049.08/18,575.92
  6. Step 6: Final answer
    x = 9,136.89

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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.