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Finding the Fourth Proportional to 20,773.31, 31,147.44 and 9,682.49

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Solution

The fourth proportional to 20,773.31, 31,147.44 and 9,682.49 is: 14,517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,773.31 : 31,147.44 = 9,682.49 : x
  2. Step 2: Convert to fraction form
    20,773.31/31,147.44 = 9,682.49/x
  3. Step 3: Cross multiply
    20,773.31x = 31,147.44 × 9,682.49
  4. Step 4: Simplify right side
    20,773.31x = 301,584,642.68
  5. Step 5: Solve for x
    x = 301,584,642.68/20,773.31
  6. Step 6: Final answer
    x = 14,517.89

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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.