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Finding the Fourth Proportional to 27,229.44, 40,847.36 and 9,701.76

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Solution

The fourth proportional to 27,229.44, 40,847.36 and 9,701.76 is: 14,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,229.44 : 40,847.36 = 9,701.76 : x
  2. Step 2: Convert to fraction form
    27,229.44/40,847.36 = 9,701.76/x
  3. Step 3: Cross multiply
    27,229.44x = 40,847.36 × 9,701.76
  4. Step 4: Simplify right side
    27,229.44x = 396,291,283.35
  5. Step 5: Solve for x
    x = 396,291,283.35/27,229.44
  6. Step 6: Final answer
    x = 14,553.78

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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.