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Finding the Fourth Proportional to 31,874, 43,986.12 and 18,626

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Solution

The fourth proportional to 31,874, 43,986.12 and 18,626 is: 25,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874 : 43,986.12 = 18,626 : x
  2. Step 2: Convert to fraction form
    31,874/43,986.12 = 18,626/x
  3. Step 3: Cross multiply
    31,874x = 43,986.12 × 18,626
  4. Step 4: Simplify right side
    31,874x = 819,285,471.12
  5. Step 5: Solve for x
    x = 819,285,471.12/31,874
  6. Step 6: Final answer
    x = 25,703.88

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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.