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Finding the Fourth Proportional to 20,728.85, 31,098.15 and 8,249.58

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Solution

The fourth proportional to 20,728.85, 31,098.15 and 8,249.58 is: 12,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.85 : 31,098.15 = 8,249.58 : x
  2. Step 2: Convert to fraction form
    20,728.85/31,098.15 = 8,249.58/x
  3. Step 3: Cross multiply
    20,728.85x = 31,098.15 × 8,249.58
  4. Step 4: Simplify right side
    20,728.85x = 256,546,676.28
  5. Step 5: Solve for x
    x = 256,546,676.28/20,728.85
  6. Step 6: Final answer
    x = 12,376.31

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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.