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Finding the Fourth Proportional to 27,589.78, 41,387.10 and 8,871.49

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Solution

The fourth proportional to 27,589.78, 41,387.10 and 8,871.49 is: 13,308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,589.78 : 41,387.10 = 8,871.49 : x
  2. Step 2: Convert to fraction form
    27,589.78/41,387.10 = 8,871.49/x
  3. Step 3: Cross multiply
    27,589.78x = 41,387.10 × 8,871.49
  4. Step 4: Simplify right side
    27,589.78x = 367,165,243.78
  5. Step 5: Solve for x
    x = 367,165,243.78/27,589.78
  6. Step 6: Final answer
    x = 13,308.02

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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.