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Finding the Fourth Proportional to 22,165.35, 33,238.14 and 8,121.66

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Solution

The fourth proportional to 22,165.35, 33,238.14 and 8,121.66 is: 12,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.35 : 33,238.14 = 8,121.66 : x
  2. Step 2: Convert to fraction form
    22,165.35/33,238.14 = 8,121.66/x
  3. Step 3: Cross multiply
    22,165.35x = 33,238.14 × 8,121.66
  4. Step 4: Simplify right side
    22,165.35x = 269,948,872.11
  5. Step 5: Solve for x
    x = 269,948,872.11/22,165.35
  6. Step 6: Final answer
    x = 12,178.87

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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.