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Finding the Fourth Proportional to 18,072.52, 27,107.92 and 7,538.20

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Solution

The fourth proportional to 18,072.52, 27,107.92 and 7,538.20 is: 11,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,072.52 : 27,107.92 = 7,538.20 : x
  2. Step 2: Convert to fraction form
    18,072.52/27,107.92 = 7,538.20/x
  3. Step 3: Cross multiply
    18,072.52x = 27,107.92 × 7,538.20
  4. Step 4: Simplify right side
    18,072.52x = 204,344,922.54
  5. Step 5: Solve for x
    x = 204,344,922.54/18,072.52
  6. Step 6: Final answer
    x = 11,306.94

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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.