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Finding the Fourth Proportional to 27,412.97, 41,086.31 and 13,351.92

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Solution

The fourth proportional to 27,412.97, 41,086.31 and 13,351.92 is: 20,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.97 : 41,086.31 = 13,351.92 : x
  2. Step 2: Convert to fraction form
    27,412.97/41,086.31 = 13,351.92/x
  3. Step 3: Cross multiply
    27,412.97x = 41,086.31 × 13,351.92
  4. Step 4: Simplify right side
    27,412.97x = 548,581,247.15
  5. Step 5: Solve for x
    x = 548,581,247.15/27,412.97
  6. Step 6: Final answer
    x = 20,011.74

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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.