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Finding the Fourth Proportional to 27,141.75, 40,695.17 and 11,342.54

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Solution

The fourth proportional to 27,141.75, 40,695.17 and 11,342.54 is: 17,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,141.75 : 40,695.17 = 11,342.54 : x
  2. Step 2: Convert to fraction form
    27,141.75/40,695.17 = 11,342.54/x
  3. Step 3: Cross multiply
    27,141.75x = 40,695.17 × 11,342.54
  4. Step 4: Simplify right side
    27,141.75x = 461,586,638.56
  5. Step 5: Solve for x
    x = 461,586,638.56/27,141.75
  6. Step 6: Final answer
    x = 17,006.52

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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.