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Finding the Fourth Proportional to 12,463.85, 17,198.92 and 6,874.49

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Solution

The fourth proportional to 12,463.85, 17,198.92 and 6,874.49 is: 9,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.85 : 17,198.92 = 6,874.49 : x
  2. Step 2: Convert to fraction form
    12,463.85/17,198.92 = 6,874.49/x
  3. Step 3: Cross multiply
    12,463.85x = 17,198.92 × 6,874.49
  4. Step 4: Simplify right side
    12,463.85x = 118,233,855.14
  5. Step 5: Solve for x
    x = 118,233,855.14/12,463.85
  6. Step 6: Final answer
    x = 9,486.14

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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.