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Finding the Fourth Proportional to 22,200.12, 33,297.86 and 8,350.20

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Solution

The fourth proportional to 22,200.12, 33,297.86 and 8,350.20 is: 12,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200.12 : 33,297.86 = 8,350.20 : x
  2. Step 2: Convert to fraction form
    22,200.12/33,297.86 = 8,350.20/x
  3. Step 3: Cross multiply
    22,200.12x = 33,297.86 × 8,350.20
  4. Step 4: Simplify right side
    22,200.12x = 278,043,790.57
  5. Step 5: Solve for x
    x = 278,043,790.57/22,200.12
  6. Step 6: Final answer
    x = 12,524.43

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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.