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Finding the Fourth Proportional to 22,427.28, 33,644.61 and 7,634.70

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Solution

The fourth proportional to 22,427.28, 33,644.61 and 7,634.70 is: 11,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,427.28 : 33,644.61 = 7,634.70 : x
  2. Step 2: Convert to fraction form
    22,427.28/33,644.61 = 7,634.70/x
  3. Step 3: Cross multiply
    22,427.28x = 33,644.61 × 7,634.70
  4. Step 4: Simplify right side
    22,427.28x = 256,866,503.97
  5. Step 5: Solve for x
    x = 256,866,503.97/22,427.28
  6. Step 6: Final answer
    x = 11,453.31

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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.