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Finding the Fourth Proportional to 18,542.78, 27,817.68 and 7,450.34

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Solution

The fourth proportional to 18,542.78, 27,817.68 and 7,450.34 is: 11,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,542.78 : 27,817.68 = 7,450.34 : x
  2. Step 2: Convert to fraction form
    18,542.78/27,817.68 = 7,450.34/x
  3. Step 3: Cross multiply
    18,542.78x = 27,817.68 × 7,450.34
  4. Step 4: Simplify right side
    18,542.78x = 207,251,174.01
  5. Step 5: Solve for x
    x = 207,251,174.01/18,542.78
  6. Step 6: Final answer
    x = 11,176.92

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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.