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Finding the Fourth Proportional to 18,257.13, 25,194.87 and 10,299.38

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Solution

The fourth proportional to 18,257.13, 25,194.87 and 10,299.38 is: 14,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,257.13 : 25,194.87 = 10,299.38 : x
  2. Step 2: Convert to fraction form
    18,257.13/25,194.87 = 10,299.38/x
  3. Step 3: Cross multiply
    18,257.13x = 25,194.87 × 10,299.38
  4. Step 4: Simplify right side
    18,257.13x = 259,491,414.21
  5. Step 5: Solve for x
    x = 259,491,414.21/18,257.13
  6. Step 6: Final answer
    x = 14,213.15

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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.