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Finding the Fourth Proportional to 20,991.31, 31,481.12 and 6,952.44

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Solution

The fourth proportional to 20,991.31, 31,481.12 and 6,952.44 is: 10,426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,991.31 : 31,481.12 = 6,952.44 : x
  2. Step 2: Convert to fraction form
    20,991.31/31,481.12 = 6,952.44/x
  3. Step 3: Cross multiply
    20,991.31x = 31,481.12 × 6,952.44
  4. Step 4: Simplify right side
    20,991.31x = 218,870,440.53
  5. Step 5: Solve for x
    x = 218,870,440.53/20,991.31
  6. Step 6: Final answer
    x = 10,426.72

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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.