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Finding the Fourth Proportional to 11,874.92, 17,813.42 and 3,109.84

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Solution

The fourth proportional to 11,874.92, 17,813.42 and 3,109.84 is: 4,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.92 : 17,813.42 = 3,109.84 : x
  2. Step 2: Convert to fraction form
    11,874.92/17,813.42 = 3,109.84/x
  3. Step 3: Cross multiply
    11,874.92x = 17,813.42 × 3,109.84
  4. Step 4: Simplify right side
    11,874.92x = 55,396,886.05
  5. Step 5: Solve for x
    x = 55,396,886.05/11,874.92
  6. Step 6: Final answer
    x = 4,665.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.