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Finding the Fourth Proportional to 27,286.25, 40,936.19 and 9,517.16

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Solution

The fourth proportional to 27,286.25, 40,936.19 and 9,517.16 is: 14,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,286.25 : 40,936.19 = 9,517.16 : x
  2. Step 2: Convert to fraction form
    27,286.25/40,936.19 = 9,517.16/x
  3. Step 3: Cross multiply
    27,286.25x = 40,936.19 × 9,517.16
  4. Step 4: Simplify right side
    27,286.25x = 389,596,414.91
  5. Step 5: Solve for x
    x = 389,596,414.91/27,286.25
  6. Step 6: Final answer
    x = 14,278.12

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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.