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Finding the Fourth Proportional to 18,805.57, 25,951.77 and 10,422.07

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Solution

The fourth proportional to 18,805.57, 25,951.77 and 10,422.07 is: 14,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,805.57 : 25,951.77 = 10,422.07 : x
  2. Step 2: Convert to fraction form
    18,805.57/25,951.77 = 10,422.07/x
  3. Step 3: Cross multiply
    18,805.57x = 25,951.77 × 10,422.07
  4. Step 4: Simplify right side
    18,805.57x = 270,471,163.56
  5. Step 5: Solve for x
    x = 270,471,163.56/18,805.57
  6. Step 6: Final answer
    x = 14,382.50

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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.