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Finding the Fourth Proportional to 20,648.48, 30,951.54 and 8,163.44

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Solution

The fourth proportional to 20,648.48, 30,951.54 and 8,163.44 is: 12,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,648.48 : 30,951.54 = 8,163.44 : x
  2. Step 2: Convert to fraction form
    20,648.48/30,951.54 = 8,163.44/x
  3. Step 3: Cross multiply
    20,648.48x = 30,951.54 × 8,163.44
  4. Step 4: Simplify right side
    20,648.48x = 252,671,039.70
  5. Step 5: Solve for x
    x = 252,671,039.70/20,648.48
  6. Step 6: Final answer
    x = 12,236.79

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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.