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Finding the Fourth Proportional to 22,427.60, 33,640.18 and 6,844

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Solution

The fourth proportional to 22,427.60, 33,640.18 and 6,844 is: 10,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,427.60 : 33,640.18 = 6,844 : x
  2. Step 2: Convert to fraction form
    22,427.60/33,640.18 = 6,844/x
  3. Step 3: Cross multiply
    22,427.60x = 33,640.18 × 6,844
  4. Step 4: Simplify right side
    22,427.60x = 230,233,391.92
  5. Step 5: Solve for x
    x = 230,233,391.92/22,427.60
  6. Step 6: Final answer
    x = 10,265.63

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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.