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Finding the Fourth Proportional to 27,842.72, 41,760.68 and 8,121.29

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Solution

The fourth proportional to 27,842.72, 41,760.68 and 8,121.29 is: 12,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.72 : 41,760.68 = 8,121.29 : x
  2. Step 2: Convert to fraction form
    27,842.72/41,760.68 = 8,121.29/x
  3. Step 3: Cross multiply
    27,842.72x = 41,760.68 × 8,121.29
  4. Step 4: Simplify right side
    27,842.72x = 339,150,343.47
  5. Step 5: Solve for x
    x = 339,150,343.47/27,842.72
  6. Step 6: Final answer
    x = 12,180.94

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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.