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Finding the Fourth Proportional to 12,835.31, 17,711.58 and 7,169.27

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Solution

The fourth proportional to 12,835.31, 17,711.58 and 7,169.27 is: 9,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.31 : 17,711.58 = 7,169.27 : x
  2. Step 2: Convert to fraction form
    12,835.31/17,711.58 = 7,169.27/x
  3. Step 3: Cross multiply
    12,835.31x = 17,711.58 × 7,169.27
  4. Step 4: Simplify right side
    12,835.31x = 126,979,063.30
  5. Step 5: Solve for x
    x = 126,979,063.30/12,835.31
  6. Step 6: Final answer
    x = 9,892.95

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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.