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Finding the Fourth Proportional to 24,227.24, 36,326 and 9,418.88

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Solution

The fourth proportional to 24,227.24, 36,326 and 9,418.88 is: 14,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,227.24 : 36,326 = 9,418.88 : x
  2. Step 2: Convert to fraction form
    24,227.24/36,326 = 9,418.88/x
  3. Step 3: Cross multiply
    24,227.24x = 36,326 × 9,418.88
  4. Step 4: Simplify right side
    24,227.24x = 342,150,234.88
  5. Step 5: Solve for x
    x = 342,150,234.88/24,227.24
  6. Step 6: Final answer
    x = 14,122.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.