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Finding the Fourth Proportional to 22,198.02, 33,286.02 and 8,157.48

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Solution

The fourth proportional to 22,198.02, 33,286.02 and 8,157.48 is: 12,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198.02 : 33,286.02 = 8,157.48 : x
  2. Step 2: Convert to fraction form
    22,198.02/33,286.02 = 8,157.48/x
  3. Step 3: Cross multiply
    22,198.02x = 33,286.02 × 8,157.48
  4. Step 4: Simplify right side
    22,198.02x = 271,530,042.43
  5. Step 5: Solve for x
    x = 271,530,042.43/22,198.02
  6. Step 6: Final answer
    x = 12,232.17

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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.