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Finding the Fourth Proportional to 22,289.34, 33,441.09 and 13,414.38

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Solution

The fourth proportional to 22,289.34, 33,441.09 and 13,414.38 is: 20,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,289.34 : 33,441.09 = 13,414.38 : x
  2. Step 2: Convert to fraction form
    22,289.34/33,441.09 = 13,414.38/x
  3. Step 3: Cross multiply
    22,289.34x = 33,441.09 × 13,414.38
  4. Step 4: Simplify right side
    22,289.34x = 448,591,488.87
  5. Step 5: Solve for x
    x = 448,591,488.87/22,289.34
  6. Step 6: Final answer
    x = 20,125.83

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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.