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Finding the Fourth Proportional to 16,320.96, 24,481.60 and 6,462.64

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Solution

The fourth proportional to 16,320.96, 24,481.60 and 6,462.64 is: 9,694.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,320.96 : 24,481.60 = 6,462.64 : x
  2. Step 2: Convert to fraction form
    16,320.96/24,481.60 = 6,462.64/x
  3. Step 3: Cross multiply
    16,320.96x = 24,481.60 × 6,462.64
  4. Step 4: Simplify right side
    16,320.96x = 158,215,767.42
  5. Step 5: Solve for x
    x = 158,215,767.42/16,320.96
  6. Step 6: Final answer
    x = 9,694.02

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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.