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Finding the Fourth Proportional to 27,754.47, 41,632.20 and 9,034.44

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Solution

The fourth proportional to 27,754.47, 41,632.20 and 9,034.44 is: 13,551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,754.47 : 41,632.20 = 9,034.44 : x
  2. Step 2: Convert to fraction form
    27,754.47/41,632.20 = 9,034.44/x
  3. Step 3: Cross multiply
    27,754.47x = 41,632.20 × 9,034.44
  4. Step 4: Simplify right side
    27,754.47x = 376,123,612.97
  5. Step 5: Solve for x
    x = 376,123,612.97/27,754.47
  6. Step 6: Final answer
    x = 13,551.82

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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.