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Finding the Fourth Proportional to 27,422.92, 41,134.37 and 9,892.73

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Solution

The fourth proportional to 27,422.92, 41,134.37 and 9,892.73 is: 14,839.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.92 : 41,134.37 = 9,892.73 : x
  2. Step 2: Convert to fraction form
    27,422.92/41,134.37 = 9,892.73/x
  3. Step 3: Cross multiply
    27,422.92x = 41,134.37 × 9,892.73
  4. Step 4: Simplify right side
    27,422.92x = 406,931,269.50
  5. Step 5: Solve for x
    x = 406,931,269.50/27,422.92
  6. Step 6: Final answer
    x = 14,839.09

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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.