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Finding the Fourth Proportional to 20,728.49, 31,097.60 and 8,249.23

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Solution

The fourth proportional to 20,728.49, 31,097.60 and 8,249.23 is: 12,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.49 : 31,097.60 = 8,249.23 : x
  2. Step 2: Convert to fraction form
    20,728.49/31,097.60 = 8,249.23/x
  3. Step 3: Cross multiply
    20,728.49x = 31,097.60 × 8,249.23
  4. Step 4: Simplify right side
    20,728.49x = 256,531,166.79
  5. Step 5: Solve for x
    x = 256,531,166.79/20,728.49
  6. Step 6: Final answer
    x = 12,375.78

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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.