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Finding the Fourth Proportional to 12,474.66, 17,198.49 and 10,342.14

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Solution

The fourth proportional to 12,474.66, 17,198.49 and 10,342.14 is: 14,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.66 : 17,198.49 = 10,342.14 : x
  2. Step 2: Convert to fraction form
    12,474.66/17,198.49 = 10,342.14/x
  3. Step 3: Cross multiply
    12,474.66x = 17,198.49 × 10,342.14
  4. Step 4: Simplify right side
    12,474.66x = 177,869,191.37
  5. Step 5: Solve for x
    x = 177,869,191.37/12,474.66
  6. Step 6: Final answer
    x = 14,258.44

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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.