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Finding the Fourth Proportional to 27,874.76, 41,801.20 and 11,231.69

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Solution

The fourth proportional to 27,874.76, 41,801.20 and 11,231.69 is: 16,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.76 : 41,801.20 = 11,231.69 : x
  2. Step 2: Convert to fraction form
    27,874.76/41,801.20 = 11,231.69/x
  3. Step 3: Cross multiply
    27,874.76x = 41,801.20 × 11,231.69
  4. Step 4: Simplify right side
    27,874.76x = 469,497,882.94
  5. Step 5: Solve for x
    x = 469,497,882.94/27,874.76
  6. Step 6: Final answer
    x = 16,843.12

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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.