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Finding the Fourth Proportional to 22,640.89, 33,961.38 and 7,849.84

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Solution

The fourth proportional to 22,640.89, 33,961.38 and 7,849.84 is: 11,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.89 : 33,961.38 = 7,849.84 : x
  2. Step 2: Convert to fraction form
    22,640.89/33,961.38 = 7,849.84/x
  3. Step 3: Cross multiply
    22,640.89x = 33,961.38 × 7,849.84
  4. Step 4: Simplify right side
    22,640.89x = 266,591,399.18
  5. Step 5: Solve for x
    x = 266,591,399.18/22,640.89
  6. Step 6: Final answer
    x = 11,774.78

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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.