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Finding the Fourth Proportional to 25,754.92, 38,638.17 and 13,908.43

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Solution

The fourth proportional to 25,754.92, 38,638.17 and 13,908.43 is: 20,865.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754.92 : 38,638.17 = 13,908.43 : x
  2. Step 2: Convert to fraction form
    25,754.92/38,638.17 = 13,908.43/x
  3. Step 3: Cross multiply
    25,754.92x = 38,638.17 × 13,908.43
  4. Step 4: Simplify right side
    25,754.92x = 537,396,282.77
  5. Step 5: Solve for x
    x = 537,396,282.77/25,754.92
  6. Step 6: Final answer
    x = 20,865.77

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