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Finding the Fourth Proportional to 20,657.88, 30,945.24 and 9,549.27

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Solution

The fourth proportional to 20,657.88, 30,945.24 and 9,549.27 is: 14,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.88 : 30,945.24 = 9,549.27 : x
  2. Step 2: Convert to fraction form
    20,657.88/30,945.24 = 9,549.27/x
  3. Step 3: Cross multiply
    20,657.88x = 30,945.24 × 9,549.27
  4. Step 4: Simplify right side
    20,657.88x = 295,504,451.97
  5. Step 5: Solve for x
    x = 295,504,451.97/20,657.88
  6. Step 6: Final answer
    x = 14,304.68

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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.