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Finding the Fourth Proportional to 18,805.68, 25,951.68 and 10,422

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Solution

The fourth proportional to 18,805.68, 25,951.68 and 10,422 is: 14,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,805.68 : 25,951.68 = 10,422 : x
  2. Step 2: Convert to fraction form
    18,805.68/25,951.68 = 10,422/x
  3. Step 3: Cross multiply
    18,805.68x = 25,951.68 × 10,422
  4. Step 4: Simplify right side
    18,805.68x = 270,468,408.96
  5. Step 5: Solve for x
    x = 270,468,408.96/18,805.68
  6. Step 6: Final answer
    x = 14,382.27

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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.