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Finding the Fourth Proportional to 26,200.12, 39,286.83 and 12,874

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Solution

The fourth proportional to 26,200.12, 39,286.83 and 12,874 is: 19,304.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,200.12 : 39,286.83 = 12,874 : x
  2. Step 2: Convert to fraction form
    26,200.12/39,286.83 = 12,874/x
  3. Step 3: Cross multiply
    26,200.12x = 39,286.83 × 12,874
  4. Step 4: Simplify right side
    26,200.12x = 505,778,649.42
  5. Step 5: Solve for x
    x = 505,778,649.42/26,200.12
  6. Step 6: Final answer
    x = 19,304.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.