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Finding the Fourth Proportional to 22,099.78, 33,161.82 and 10,412.70

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Solution

The fourth proportional to 22,099.78, 33,161.82 and 10,412.70 is: 15,624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,099.78 : 33,161.82 = 10,412.70 : x
  2. Step 2: Convert to fraction form
    22,099.78/33,161.82 = 10,412.70/x
  3. Step 3: Cross multiply
    22,099.78x = 33,161.82 × 10,412.70
  4. Step 4: Simplify right side
    22,099.78x = 345,304,083.11
  5. Step 5: Solve for x
    x = 345,304,083.11/22,099.78
  6. Step 6: Final answer
    x = 15,624.77

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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.