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Finding the Fourth Proportional to 19,872.24, 27,414.24 and 14,286.48

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Solution

The fourth proportional to 19,872.24, 27,414.24 and 14,286.48 is: 19,708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872.24 : 27,414.24 = 14,286.48 : x
  2. Step 2: Convert to fraction form
    19,872.24/27,414.24 = 14,286.48/x
  3. Step 3: Cross multiply
    19,872.24x = 27,414.24 × 14,286.48
  4. Step 4: Simplify right side
    19,872.24x = 391,652,991.48
  5. Step 5: Solve for x
    x = 391,652,991.48/19,872.24
  6. Step 6: Final answer
    x = 19,708.55

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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.