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Finding the Fourth Proportional to 25,896.52, 38,839.16 and 9,257.71

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Solution

The fourth proportional to 25,896.52, 38,839.16 and 9,257.71 is: 13,884.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.52 : 38,839.16 = 9,257.71 : x
  2. Step 2: Convert to fraction form
    25,896.52/38,839.16 = 9,257.71/x
  3. Step 3: Cross multiply
    25,896.52x = 38,839.16 × 9,257.71
  4. Step 4: Simplify right side
    25,896.52x = 359,561,439.44
  5. Step 5: Solve for x
    x = 359,561,439.44/25,896.52
  6. Step 6: Final answer
    x = 13,884.55

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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.