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Finding the Fourth Proportional to 27,687.29, 41,531.52 and 9,919.10

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Solution

The fourth proportional to 27,687.29, 41,531.52 and 9,919.10 is: 14,878.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,687.29 : 41,531.52 = 9,919.10 : x
  2. Step 2: Convert to fraction form
    27,687.29/41,531.52 = 9,919.10/x
  3. Step 3: Cross multiply
    27,687.29x = 41,531.52 × 9,919.10
  4. Step 4: Simplify right side
    27,687.29x = 411,955,092.37
  5. Step 5: Solve for x
    x = 411,955,092.37/27,687.29
  6. Step 6: Final answer
    x = 14,878.85

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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.