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Finding the Fourth Proportional to 22,072.38, 33,114.33 and 6,489.42

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Solution

The fourth proportional to 22,072.38, 33,114.33 and 6,489.42 is: 9,735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,072.38 : 33,114.33 = 6,489.42 : x
  2. Step 2: Convert to fraction form
    22,072.38/33,114.33 = 6,489.42/x
  3. Step 3: Cross multiply
    22,072.38x = 33,114.33 × 6,489.42
  4. Step 4: Simplify right side
    22,072.38x = 214,892,795.39
  5. Step 5: Solve for x
    x = 214,892,795.39/22,072.38
  6. Step 6: Final answer
    x = 9,735.82

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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.