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Finding the Fourth Proportional to 22,297.23, 33,447.67 and 11,198.21

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Solution

The fourth proportional to 22,297.23, 33,447.67 and 11,198.21 is: 16,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.23 : 33,447.67 = 11,198.21 : x
  2. Step 2: Convert to fraction form
    22,297.23/33,447.67 = 11,198.21/x
  3. Step 3: Cross multiply
    22,297.23x = 33,447.67 × 11,198.21
  4. Step 4: Simplify right side
    22,297.23x = 374,553,976.68
  5. Step 5: Solve for x
    x = 374,553,976.68/22,297.23
  6. Step 6: Final answer
    x = 16,798.23

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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.