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Finding the Fourth Proportional to 11,626.80, 17,439.24 and 3,833.52

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Solution

The fourth proportional to 11,626.80, 17,439.24 and 3,833.52 is: 5,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.80 : 17,439.24 = 3,833.52 : x
  2. Step 2: Convert to fraction form
    11,626.80/17,439.24 = 3,833.52/x
  3. Step 3: Cross multiply
    11,626.80x = 17,439.24 × 3,833.52
  4. Step 4: Simplify right side
    11,626.80x = 66,853,675.32
  5. Step 5: Solve for x
    x = 66,853,675.32/11,626.80
  6. Step 6: Final answer
    x = 5,749.96

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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.