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Finding the Fourth Proportional to 27,142.92, 40,709.59 and 10,489.26

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Solution

The fourth proportional to 27,142.92, 40,709.59 and 10,489.26 is: 15,732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.92 : 40,709.59 = 10,489.26 : x
  2. Step 2: Convert to fraction form
    27,142.92/40,709.59 = 10,489.26/x
  3. Step 3: Cross multiply
    27,142.92x = 40,709.59 × 10,489.26
  4. Step 4: Simplify right side
    27,142.92x = 427,013,421.56
  5. Step 5: Solve for x
    x = 427,013,421.56/27,142.92
  6. Step 6: Final answer
    x = 15,732.04

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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.