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Finding the Fourth Proportional to 25,634, 38,452.44 and 7,167.44

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Solution

The fourth proportional to 25,634, 38,452.44 and 7,167.44 is: 10,751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,634 : 38,452.44 = 7,167.44 : x
  2. Step 2: Convert to fraction form
    25,634/38,452.44 = 7,167.44/x
  3. Step 3: Cross multiply
    25,634x = 38,452.44 × 7,167.44
  4. Step 4: Simplify right side
    25,634x = 275,605,556.55
  5. Step 5: Solve for x
    x = 275,605,556.55/25,634
  6. Step 6: Final answer
    x = 10,751.56

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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.