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Finding the Fourth Proportional to 12,198.63, 16,834.13 and 6,609.63

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Solution

The fourth proportional to 12,198.63, 16,834.13 and 6,609.63 is: 9,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.63 : 16,834.13 = 6,609.63 : x
  2. Step 2: Convert to fraction form
    12,198.63/16,834.13 = 6,609.63/x
  3. Step 3: Cross multiply
    12,198.63x = 16,834.13 × 6,609.63
  4. Step 4: Simplify right side
    12,198.63x = 111,267,370.67
  5. Step 5: Solve for x
    x = 111,267,370.67/12,198.63
  6. Step 6: Final answer
    x = 9,121.30

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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.