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Finding the Fourth Proportional to 27,872.91, 38,465.42 and 15,772.46

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Solution

The fourth proportional to 27,872.91, 38,465.42 and 15,772.46 is: 21,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.91 : 38,465.42 = 15,772.46 : x
  2. Step 2: Convert to fraction form
    27,872.91/38,465.42 = 15,772.46/x
  3. Step 3: Cross multiply
    27,872.91x = 38,465.42 × 15,772.46
  4. Step 4: Simplify right side
    27,872.91x = 606,694,027.14
  5. Step 5: Solve for x
    x = 606,694,027.14/27,872.91
  6. Step 6: Final answer
    x = 21,766.44

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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.