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Finding the Fourth Proportional to 22,198.17, 33,297.54 and 12,399.78

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Solution

The fourth proportional to 22,198.17, 33,297.54 and 12,399.78 is: 18,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198.17 : 33,297.54 = 12,399.78 : x
  2. Step 2: Convert to fraction form
    22,198.17/33,297.54 = 12,399.78/x
  3. Step 3: Cross multiply
    22,198.17x = 33,297.54 × 12,399.78
  4. Step 4: Simplify right side
    22,198.17x = 412,882,170.54
  5. Step 5: Solve for x
    x = 412,882,170.54/22,198.17
  6. Step 6: Final answer
    x = 18,599.83

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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.