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Finding the Fourth Proportional to 11,826.76, 17,736.06 and 4,033.72

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Solution

The fourth proportional to 11,826.76, 17,736.06 and 4,033.72 is: 6,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.76 : 17,736.06 = 4,033.72 : x
  2. Step 2: Convert to fraction form
    11,826.76/17,736.06 = 4,033.72/x
  3. Step 3: Cross multiply
    11,826.76x = 17,736.06 × 4,033.72
  4. Step 4: Simplify right side
    11,826.76x = 71,542,299.94
  5. Step 5: Solve for x
    x = 71,542,299.94/11,826.76
  6. Step 6: Final answer
    x = 6,049.19

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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.