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Finding the Fourth Proportional to 22,196.97, 33,290.46 and 6,398.60

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Solution

The fourth proportional to 22,196.97, 33,290.46 and 6,398.60 is: 9,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,196.97 : 33,290.46 = 6,398.60 : x
  2. Step 2: Convert to fraction form
    22,196.97/33,290.46 = 6,398.60/x
  3. Step 3: Cross multiply
    22,196.97x = 33,290.46 × 6,398.60
  4. Step 4: Simplify right side
    22,196.97x = 213,012,170.90
  5. Step 5: Solve for x
    x = 213,012,170.90/22,196.97
  6. Step 6: Final answer
    x = 9,596.45

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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.