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Finding the Fourth Proportional to 22,412.89, 33,578.78 and 16,138.94

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Solution

The fourth proportional to 22,412.89, 33,578.78 and 16,138.94 is: 24,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,412.89 : 33,578.78 = 16,138.94 : x
  2. Step 2: Convert to fraction form
    22,412.89/33,578.78 = 16,138.94/x
  3. Step 3: Cross multiply
    22,412.89x = 33,578.78 × 16,138.94
  4. Step 4: Simplify right side
    22,412.89x = 541,925,747.80
  5. Step 5: Solve for x
    x = 541,925,747.80/22,412.89
  6. Step 6: Final answer
    x = 24,179.20

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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.