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Finding the Fourth Proportional to 12,198.98, 18,272.96 and 7,794.06

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Solution

The fourth proportional to 12,198.98, 18,272.96 and 7,794.06 is: 11,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.98 : 18,272.96 = 7,794.06 : x
  2. Step 2: Convert to fraction form
    12,198.98/18,272.96 = 7,794.06/x
  3. Step 3: Cross multiply
    12,198.98x = 18,272.96 × 7,794.06
  4. Step 4: Simplify right side
    12,198.98x = 142,420,546.62
  5. Step 5: Solve for x
    x = 142,420,546.62/12,198.98
  6. Step 6: Final answer
    x = 11,674.79

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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.