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Finding the Fourth Proportional to 20,497.44, 30,743.10 and 5,704.82

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Solution

The fourth proportional to 20,497.44, 30,743.10 and 5,704.82 is: 8,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.44 : 30,743.10 = 5,704.82 : x
  2. Step 2: Convert to fraction form
    20,497.44/30,743.10 = 5,704.82/x
  3. Step 3: Cross multiply
    20,497.44x = 30,743.10 × 5,704.82
  4. Step 4: Simplify right side
    20,497.44x = 175,383,698.03
  5. Step 5: Solve for x
    x = 175,383,698.03/20,497.44
  6. Step 6: Final answer
    x = 8,556.37

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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.