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Finding the Fourth Proportional to 20,224.78, 30,324.02 and 9,694.52

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Solution

The fourth proportional to 20,224.78, 30,324.02 and 9,694.52 is: 14,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.78 : 30,324.02 = 9,694.52 : x
  2. Step 2: Convert to fraction form
    20,224.78/30,324.02 = 9,694.52/x
  3. Step 3: Cross multiply
    20,224.78x = 30,324.02 × 9,694.52
  4. Step 4: Simplify right side
    20,224.78x = 293,976,818.37
  5. Step 5: Solve for x
    x = 293,976,818.37/20,224.78
  6. Step 6: Final answer
    x = 14,535.48

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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.