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Finding the Fourth Proportional to 22,196.24, 33,297.48 and 7,198.28

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Solution

The fourth proportional to 22,196.24, 33,297.48 and 7,198.28 is: 10,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,196.24 : 33,297.48 = 7,198.28 : x
  2. Step 2: Convert to fraction form
    22,196.24/33,297.48 = 7,198.28/x
  3. Step 3: Cross multiply
    22,196.24x = 33,297.48 × 7,198.28
  4. Step 4: Simplify right side
    22,196.24x = 239,684,584.33
  5. Step 5: Solve for x
    x = 239,684,584.33/22,196.24
  6. Step 6: Final answer
    x = 10,798.43

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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.