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Finding the Fourth Proportional to 22,163.97, 33,211.78 and 10,906.38

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Solution

The fourth proportional to 22,163.97, 33,211.78 and 10,906.38 is: 16,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,163.97 : 33,211.78 = 10,906.38 : x
  2. Step 2: Convert to fraction form
    22,163.97/33,211.78 = 10,906.38/x
  3. Step 3: Cross multiply
    22,163.97x = 33,211.78 × 10,906.38
  4. Step 4: Simplify right side
    22,163.97x = 362,220,293.16
  5. Step 5: Solve for x
    x = 362,220,293.16/22,163.97
  6. Step 6: Final answer
    x = 16,342.75

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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.