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Finding the Fourth Proportional to 20,691.41, 31,037.31 and 8,214.44

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Solution

The fourth proportional to 20,691.41, 31,037.31 and 8,214.44 is: 12,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691.41 : 31,037.31 = 8,214.44 : x
  2. Step 2: Convert to fraction form
    20,691.41/31,037.31 = 8,214.44/x
  3. Step 3: Cross multiply
    20,691.41x = 31,037.31 × 8,214.44
  4. Step 4: Simplify right side
    20,691.41x = 254,953,965.57
  5. Step 5: Solve for x
    x = 254,953,965.57/20,691.41
  6. Step 6: Final answer
    x = 12,321.73

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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.