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Finding the Fourth Proportional to 18,282.38, 25,229.07 and 10,216.49

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Solution

The fourth proportional to 18,282.38, 25,229.07 and 10,216.49 is: 14,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,282.38 : 25,229.07 = 10,216.49 : x
  2. Step 2: Convert to fraction form
    18,282.38/25,229.07 = 10,216.49/x
  3. Step 3: Cross multiply
    18,282.38x = 25,229.07 × 10,216.49
  4. Step 4: Simplify right side
    18,282.38x = 257,752,415.22
  5. Step 5: Solve for x
    x = 257,752,415.22/18,282.38
  6. Step 6: Final answer
    x = 14,098.41

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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.