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Finding the Fourth Proportional to 22,134, 33,180.99 and 8,084.12

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Solution

The fourth proportional to 22,134, 33,180.99 and 8,084.12 is: 12,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,134 : 33,180.99 = 8,084.12 : x
  2. Step 2: Convert to fraction form
    22,134/33,180.99 = 8,084.12/x
  3. Step 3: Cross multiply
    22,134x = 33,180.99 × 8,084.12
  4. Step 4: Simplify right side
    22,134x = 268,238,938.97
  5. Step 5: Solve for x
    x = 268,238,938.97/22,134
  6. Step 6: Final answer
    x = 12,118.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.