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Finding the Fourth Proportional to 18,724.37, 25,839.18 and 10,766.42

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Solution

The fourth proportional to 18,724.37, 25,839.18 and 10,766.42 is: 14,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,724.37 : 25,839.18 = 10,766.42 : x
  2. Step 2: Convert to fraction form
    18,724.37/25,839.18 = 10,766.42/x
  3. Step 3: Cross multiply
    18,724.37x = 25,839.18 × 10,766.42
  4. Step 4: Simplify right side
    18,724.37x = 278,195,335.14
  5. Step 5: Solve for x
    x = 278,195,335.14/18,724.37
  6. Step 6: Final answer
    x = 14,857.39

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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.