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Finding the Fourth Proportional to 22,098.34, 33,162.09 and 10,414.90

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Solution

The fourth proportional to 22,098.34, 33,162.09 and 10,414.90 is: 15,629.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098.34 : 33,162.09 = 10,414.90 : x
  2. Step 2: Convert to fraction form
    22,098.34/33,162.09 = 10,414.90/x
  3. Step 3: Cross multiply
    22,098.34x = 33,162.09 × 10,414.90
  4. Step 4: Simplify right side
    22,098.34x = 345,379,851.14
  5. Step 5: Solve for x
    x = 345,379,851.14/22,098.34
  6. Step 6: Final answer
    x = 15,629.22

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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.