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Finding the Fourth Proportional to 18,257.54, 25,195.33 and 10,299.76

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Solution

The fourth proportional to 18,257.54, 25,195.33 and 10,299.76 is: 14,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,257.54 : 25,195.33 = 10,299.76 : x
  2. Step 2: Convert to fraction form
    18,257.54/25,195.33 = 10,299.76/x
  3. Step 3: Cross multiply
    18,257.54x = 25,195.33 × 10,299.76
  4. Step 4: Simplify right side
    18,257.54x = 259,505,763.38
  5. Step 5: Solve for x
    x = 259,505,763.38/18,257.54
  6. Step 6: Final answer
    x = 14,213.63

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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.