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Finding the Fourth Proportional to 12,542.88, 18,825.60 and 6,704.48

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Solution

The fourth proportional to 12,542.88, 18,825.60 and 6,704.48 is: 10,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.88 : 18,825.60 = 6,704.48 : x
  2. Step 2: Convert to fraction form
    12,542.88/18,825.60 = 6,704.48/x
  3. Step 3: Cross multiply
    12,542.88x = 18,825.60 × 6,704.48
  4. Step 4: Simplify right side
    12,542.88x = 126,215,858.69
  5. Step 5: Solve for x
    x = 126,215,858.69/12,542.88
  6. Step 6: Final answer
    x = 10,062.75

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