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Finding the Fourth Proportional to 27,067.89, 40,591.42 and 9,295.24

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Solution

The fourth proportional to 27,067.89, 40,591.42 and 9,295.24 is: 13,939.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,067.89 : 40,591.42 = 9,295.24 : x
  2. Step 2: Convert to fraction form
    27,067.89/40,591.42 = 9,295.24/x
  3. Step 3: Cross multiply
    27,067.89x = 40,591.42 × 9,295.24
  4. Step 4: Simplify right side
    27,067.89x = 377,306,990.84
  5. Step 5: Solve for x
    x = 377,306,990.84/27,067.89
  6. Step 6: Final answer
    x = 13,939.28

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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.