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Finding the Fourth Proportional to 12,786.44, 17,654.10 and 9,797

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Solution

The fourth proportional to 12,786.44, 17,654.10 and 9,797 is: 13,526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.44 : 17,654.10 = 9,797 : x
  2. Step 2: Convert to fraction form
    12,786.44/17,654.10 = 9,797/x
  3. Step 3: Cross multiply
    12,786.44x = 17,654.10 × 9,797
  4. Step 4: Simplify right side
    12,786.44x = 172,957,217.70
  5. Step 5: Solve for x
    x = 172,957,217.70/12,786.44
  6. Step 6: Final answer
    x = 13,526.61

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