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Finding the Fourth Proportional to 18,640.88, 25,724.41 and 10,257.38

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Solution

The fourth proportional to 18,640.88, 25,724.41 and 10,257.38 is: 14,155.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,640.88 : 25,724.41 = 10,257.38 : x
  2. Step 2: Convert to fraction form
    18,640.88/25,724.41 = 10,257.38/x
  3. Step 3: Cross multiply
    18,640.88x = 25,724.41 × 10,257.38
  4. Step 4: Simplify right side
    18,640.88x = 263,864,894.38
  5. Step 5: Solve for x
    x = 263,864,894.38/18,640.88
  6. Step 6: Final answer
    x = 14,155.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.