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Finding the Fourth Proportional to 12,231.42, 16,862.89 and 7,974.06

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Solution

The fourth proportional to 12,231.42, 16,862.89 and 7,974.06 is: 10,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.42 : 16,862.89 = 7,974.06 : x
  2. Step 2: Convert to fraction form
    12,231.42/16,862.89 = 7,974.06/x
  3. Step 3: Cross multiply
    12,231.42x = 16,862.89 × 7,974.06
  4. Step 4: Simplify right side
    12,231.42x = 134,465,739.93
  5. Step 5: Solve for x
    x = 134,465,739.93/12,231.42
  6. Step 6: Final answer
    x = 10,993.47

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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.