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Finding the Fourth Proportional to 18,614, 25,687.38 and 10,116.20

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Solution

The fourth proportional to 18,614, 25,687.38 and 10,116.20 is: 13,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,614 : 25,687.38 = 10,116.20 : x
  2. Step 2: Convert to fraction form
    18,614/25,687.38 = 10,116.20/x
  3. Step 3: Cross multiply
    18,614x = 25,687.38 × 10,116.20
  4. Step 4: Simplify right side
    18,614x = 259,858,673.56
  5. Step 5: Solve for x
    x = 259,858,673.56/18,614
  6. Step 6: Final answer
    x = 13,960.39

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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.