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Finding the Fourth Proportional to 22,196.19, 33,286.49 and 6,397

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Solution

The fourth proportional to 22,196.19, 33,286.49 and 6,397 is: 9,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,196.19 : 33,286.49 = 6,397 : x
  2. Step 2: Convert to fraction form
    22,196.19/33,286.49 = 6,397/x
  3. Step 3: Cross multiply
    22,196.19x = 33,286.49 × 6,397
  4. Step 4: Simplify right side
    22,196.19x = 212,933,676.53
  5. Step 5: Solve for x
    x = 212,933,676.53/22,196.19
  6. Step 6: Final answer
    x = 9,593.25

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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.