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Finding the Fourth Proportional to 16,311.96, 24,469.56 and 5,215.86

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Solution

The fourth proportional to 16,311.96, 24,469.56 and 5,215.86 is: 7,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.96 : 24,469.56 = 5,215.86 : x
  2. Step 2: Convert to fraction form
    16,311.96/24,469.56 = 5,215.86/x
  3. Step 3: Cross multiply
    16,311.96x = 24,469.56 × 5,215.86
  4. Step 4: Simplify right side
    16,311.96x = 127,629,799.22
  5. Step 5: Solve for x
    x = 127,629,799.22/16,311.96
  6. Step 6: Final answer
    x = 7,824.31

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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.