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Finding the Fourth Proportional to 12,463.02, 17,198.19 and 6,874.14

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Solution

The fourth proportional to 12,463.02, 17,198.19 and 6,874.14 is: 9,485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.02 : 17,198.19 = 6,874.14 : x
  2. Step 2: Convert to fraction form
    12,463.02/17,198.19 = 6,874.14/x
  3. Step 3: Cross multiply
    12,463.02x = 17,198.19 × 6,874.14
  4. Step 4: Simplify right side
    12,463.02x = 118,222,765.81
  5. Step 5: Solve for x
    x = 118,222,765.81/12,463.02
  6. Step 6: Final answer
    x = 9,485.88

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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.