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Finding the Fourth Proportional to 13,198.12, 18,213.41 and 7,229.88

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Solution

The fourth proportional to 13,198.12, 18,213.41 and 7,229.88 is: 9,977.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.12 : 18,213.41 = 7,229.88 : x
  2. Step 2: Convert to fraction form
    13,198.12/18,213.41 = 7,229.88/x
  3. Step 3: Cross multiply
    13,198.12x = 18,213.41 × 7,229.88
  4. Step 4: Simplify right side
    13,198.12x = 131,680,768.69
  5. Step 5: Solve for x
    x = 131,680,768.69/13,198.12
  6. Step 6: Final answer
    x = 9,977.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.