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Finding the Fourth Proportional to 22,161.34, 33,241.94 and 8,122.42

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Solution

The fourth proportional to 22,161.34, 33,241.94 and 8,122.42 is: 12,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,161.34 : 33,241.94 = 8,122.42 : x
  2. Step 2: Convert to fraction form
    22,161.34/33,241.94 = 8,122.42/x
  3. Step 3: Cross multiply
    22,161.34x = 33,241.94 × 8,122.42
  4. Step 4: Simplify right side
    22,161.34x = 270,004,998.29
  5. Step 5: Solve for x
    x = 270,004,998.29/22,161.34
  6. Step 6: Final answer
    x = 12,183.60

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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.