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Finding the Fourth Proportional to 13,422.38, 18,520.25 and 8,643.78

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Solution

The fourth proportional to 13,422.38, 18,520.25 and 8,643.78 is: 11,926.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.38 : 18,520.25 = 8,643.78 : x
  2. Step 2: Convert to fraction form
    13,422.38/18,520.25 = 8,643.78/x
  3. Step 3: Cross multiply
    13,422.38x = 18,520.25 × 8,643.78
  4. Step 4: Simplify right side
    13,422.38x = 160,084,923.33
  5. Step 5: Solve for x
    x = 160,084,923.33/13,422.38
  6. Step 6: Final answer
    x = 11,926.72

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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.