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Finding the Fourth Proportional to 27,098.92, 40,614.49 and 13,056.31

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Solution

The fourth proportional to 27,098.92, 40,614.49 and 13,056.31 is: 19,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,098.92 : 40,614.49 = 13,056.31 : x
  2. Step 2: Convert to fraction form
    27,098.92/40,614.49 = 13,056.31/x
  3. Step 3: Cross multiply
    27,098.92x = 40,614.49 × 13,056.31
  4. Step 4: Simplify right side
    27,098.92x = 530,275,371.93
  5. Step 5: Solve for x
    x = 530,275,371.93/27,098.92
  6. Step 6: Final answer
    x = 19,568.14

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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.