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Finding the Fourth Proportional to 18,542.22, 27,797.03 and 9,638.80

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Solution

The fourth proportional to 18,542.22, 27,797.03 and 9,638.80 is: 14,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,542.22 : 27,797.03 = 9,638.80 : x
  2. Step 2: Convert to fraction form
    18,542.22/27,797.03 = 9,638.80/x
  3. Step 3: Cross multiply
    18,542.22x = 27,797.03 × 9,638.80
  4. Step 4: Simplify right side
    18,542.22x = 267,930,012.76
  5. Step 5: Solve for x
    x = 267,930,012.76/18,542.22
  6. Step 6: Final answer
    x = 14,449.73

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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.