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Finding the Fourth Proportional to 12,835.68, 17,711.97 and 7,169.97

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Solution

The fourth proportional to 12,835.68, 17,711.97 and 7,169.97 is: 9,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.68 : 17,711.97 = 7,169.97 : x
  2. Step 2: Convert to fraction form
    12,835.68/17,711.97 = 7,169.97/x
  3. Step 3: Cross multiply
    12,835.68x = 17,711.97 × 7,169.97
  4. Step 4: Simplify right side
    12,835.68x = 126,994,293.54
  5. Step 5: Solve for x
    x = 126,994,293.54/12,835.68
  6. Step 6: Final answer
    x = 9,893.85

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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.