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Finding the Fourth Proportional to 22,198.21, 33,293.72 and 8,154.78

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Solution

The fourth proportional to 22,198.21, 33,293.72 and 8,154.78 is: 12,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198.21 : 33,293.72 = 8,154.78 : x
  2. Step 2: Convert to fraction form
    22,198.21/33,293.72 = 8,154.78/x
  3. Step 3: Cross multiply
    22,198.21x = 33,293.72 × 8,154.78
  4. Step 4: Simplify right side
    22,198.21x = 271,502,998.92
  5. Step 5: Solve for x
    x = 271,502,998.92/22,198.21
  6. Step 6: Final answer
    x = 12,230.85

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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.