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Finding the Fourth Proportional to 25,787.76, 38,675.22 and 7,067.88

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Solution

The fourth proportional to 25,787.76, 38,675.22 and 7,067.88 is: 10,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,787.76 : 38,675.22 = 7,067.88 : x
  2. Step 2: Convert to fraction form
    25,787.76/38,675.22 = 7,067.88/x
  3. Step 3: Cross multiply
    25,787.76x = 38,675.22 × 7,067.88
  4. Step 4: Simplify right side
    25,787.76x = 273,351,813.93
  5. Step 5: Solve for x
    x = 273,351,813.93/25,787.76
  6. Step 6: Final answer
    x = 10,600.06

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Why These Related Problems?

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