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Finding the Fourth Proportional to 12,198.69, 18,291.50 and 5,619.16

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Solution

The fourth proportional to 12,198.69, 18,291.50 and 5,619.16 is: 8,425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.69 : 18,291.50 = 5,619.16 : x
  2. Step 2: Convert to fraction form
    12,198.69/18,291.50 = 5,619.16/x
  3. Step 3: Cross multiply
    12,198.69x = 18,291.50 × 5,619.16
  4. Step 4: Simplify right side
    12,198.69x = 102,782,865.14
  5. Step 5: Solve for x
    x = 102,782,865.14/12,198.69
  6. Step 6: Final answer
    x = 8,425.73

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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.