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Finding the Fourth Proportional to 8,265.44, 12,399.92 and 2,422.24

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Solution

The fourth proportional to 8,265.44, 12,399.92 and 2,422.24 is: 3,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.44 : 12,399.92 = 2,422.24 : x
  2. Step 2: Convert to fraction form
    8,265.44/12,399.92 = 2,422.24/x
  3. Step 3: Cross multiply
    8,265.44x = 12,399.92 × 2,422.24
  4. Step 4: Simplify right side
    8,265.44x = 30,035,582.22
  5. Step 5: Solve for x
    x = 30,035,582.22/8,265.44
  6. Step 6: Final answer
    x = 3,633.88

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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.