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Finding the Fourth Proportional to 22,196.44, 33,286.87 and 6,397.25

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Solution

The fourth proportional to 22,196.44, 33,286.87 and 6,397.25 is: 9,593.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,196.44 : 33,286.87 = 6,397.25 : x
  2. Step 2: Convert to fraction form
    22,196.44/33,286.87 = 6,397.25/x
  3. Step 3: Cross multiply
    22,196.44x = 33,286.87 × 6,397.25
  4. Step 4: Simplify right side
    22,196.44x = 212,944,429.11
  5. Step 5: Solve for x
    x = 212,944,429.11/22,196.44
  6. Step 6: Final answer
    x = 9,593.63

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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.