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Finding the Fourth Proportional to 20,731.40, 31,101.15 and 8,249.30

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Solution

The fourth proportional to 20,731.40, 31,101.15 and 8,249.30 is: 12,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731.40 : 31,101.15 = 8,249.30 : x
  2. Step 2: Convert to fraction form
    20,731.40/31,101.15 = 8,249.30/x
  3. Step 3: Cross multiply
    20,731.40x = 31,101.15 × 8,249.30
  4. Step 4: Simplify right side
    20,731.40x = 256,562,716.70
  5. Step 5: Solve for x
    x = 256,562,716.70/20,731.40
  6. Step 6: Final answer
    x = 12,375.56

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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.