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Finding the Fourth Proportional to 12,169.30, 16,797.23 and 7,134.61

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Solution

The fourth proportional to 12,169.30, 16,797.23 and 7,134.61 is: 9,847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.30 : 16,797.23 = 7,134.61 : x
  2. Step 2: Convert to fraction form
    12,169.30/16,797.23 = 7,134.61/x
  3. Step 3: Cross multiply
    12,169.30x = 16,797.23 × 7,134.61
  4. Step 4: Simplify right side
    12,169.30x = 119,841,685.13
  5. Step 5: Solve for x
    x = 119,841,685.13/12,169.30
  6. Step 6: Final answer
    x = 9,847.87

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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.