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Finding the Fourth Proportional to 20,881.68, 31,330.22 and 9,791.97

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Solution

The fourth proportional to 20,881.68, 31,330.22 and 9,791.97 is: 14,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,881.68 : 31,330.22 = 9,791.97 : x
  2. Step 2: Convert to fraction form
    20,881.68/31,330.22 = 9,791.97/x
  3. Step 3: Cross multiply
    20,881.68x = 31,330.22 × 9,791.97
  4. Step 4: Simplify right side
    20,881.68x = 306,784,525.37
  5. Step 5: Solve for x
    x = 306,784,525.37/20,881.68
  6. Step 6: Final answer
    x = 14,691.56

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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.