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Finding the Fourth Proportional to 12,198.98, 18,296.85 and 3,434.65

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Solution

The fourth proportional to 12,198.98, 18,296.85 and 3,434.65 is: 5,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.98 : 18,296.85 = 3,434.65 : x
  2. Step 2: Convert to fraction form
    12,198.98/18,296.85 = 3,434.65/x
  3. Step 3: Cross multiply
    12,198.98x = 18,296.85 × 3,434.65
  4. Step 4: Simplify right side
    12,198.98x = 62,843,275.85
  5. Step 5: Solve for x
    x = 62,843,275.85/12,198.98
  6. Step 6: Final answer
    x = 5,151.52

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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.