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Finding the Fourth Proportional to 22,640.04, 33,951.66 and 7,845

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Solution

The fourth proportional to 22,640.04, 33,951.66 and 7,845 is: 11,764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.04 : 33,951.66 = 7,845 : x
  2. Step 2: Convert to fraction form
    22,640.04/33,951.66 = 7,845/x
  3. Step 3: Cross multiply
    22,640.04x = 33,951.66 × 7,845
  4. Step 4: Simplify right side
    22,640.04x = 266,350,772.70
  5. Step 5: Solve for x
    x = 266,350,772.70/22,640.04
  6. Step 6: Final answer
    x = 11,764.59

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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.