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Finding the Fourth Proportional to 12,794.67, 17,633.03 and 9,251.73

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Solution

The fourth proportional to 12,794.67, 17,633.03 and 9,251.73 is: 12,750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.67 : 17,633.03 = 9,251.73 : x
  2. Step 2: Convert to fraction form
    12,794.67/17,633.03 = 9,251.73/x
  3. Step 3: Cross multiply
    12,794.67x = 17,633.03 × 9,251.73
  4. Step 4: Simplify right side
    12,794.67x = 163,135,986.38
  5. Step 5: Solve for x
    x = 163,135,986.38/12,794.67
  6. Step 6: Final answer
    x = 12,750.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.