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Finding the Fourth Proportional to 36,822.40, 55,233.60 and 12,198.40

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Solution

The fourth proportional to 36,822.40, 55,233.60 and 12,198.40 is: 18,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,822.40 : 55,233.60 = 12,198.40 : x
  2. Step 2: Convert to fraction form
    36,822.40/55,233.60 = 12,198.40/x
  3. Step 3: Cross multiply
    36,822.40x = 55,233.60 × 12,198.40
  4. Step 4: Simplify right side
    36,822.40x = 673,761,546.24
  5. Step 5: Solve for x
    x = 673,761,546.24/36,822.40
  6. Step 6: Final answer
    x = 18,297.60

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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.