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Finding the Fourth Proportional to 25,896.77, 38,839.53 and 9,257.96

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Solution

The fourth proportional to 25,896.77, 38,839.53 and 9,257.96 is: 13,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.77 : 38,839.53 = 9,257.96 : x
  2. Step 2: Convert to fraction form
    25,896.77/38,839.53 = 9,257.96/x
  3. Step 3: Cross multiply
    25,896.77x = 38,839.53 × 9,257.96
  4. Step 4: Simplify right side
    25,896.77x = 359,574,620.96
  5. Step 5: Solve for x
    x = 359,574,620.96/25,896.77
  6. Step 6: Final answer
    x = 13,884.92

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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.