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Finding the Fourth Proportional to 22,146.28, 33,213.74 and 6,560.26

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Solution

The fourth proportional to 22,146.28, 33,213.74 and 6,560.26 is: 9,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,146.28 : 33,213.74 = 6,560.26 : x
  2. Step 2: Convert to fraction form
    22,146.28/33,213.74 = 6,560.26/x
  3. Step 3: Cross multiply
    22,146.28x = 33,213.74 × 6,560.26
  4. Step 4: Simplify right side
    22,146.28x = 217,890,769.97
  5. Step 5: Solve for x
    x = 217,890,769.97/22,146.28
  6. Step 6: Final answer
    x = 9,838.71

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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.