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Finding the Fourth Proportional to 18,296.68, 25,229.38 and 11,911.50

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Solution

The fourth proportional to 18,296.68, 25,229.38 and 11,911.50 is: 16,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,296.68 : 25,229.38 = 11,911.50 : x
  2. Step 2: Convert to fraction form
    18,296.68/25,229.38 = 11,911.50/x
  3. Step 3: Cross multiply
    18,296.68x = 25,229.38 × 11,911.50
  4. Step 4: Simplify right side
    18,296.68x = 300,519,759.87
  5. Step 5: Solve for x
    x = 300,519,759.87/18,296.68
  6. Step 6: Final answer
    x = 16,424.82

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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.