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Finding the Fourth Proportional to 29,469.36, 44,187.89 and 11,682

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Solution

The fourth proportional to 29,469.36, 44,187.89 and 11,682 is: 17,516.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,469.36 : 44,187.89 = 11,682 : x
  2. Step 2: Convert to fraction form
    29,469.36/44,187.89 = 11,682/x
  3. Step 3: Cross multiply
    29,469.36x = 44,187.89 × 11,682
  4. Step 4: Simplify right side
    29,469.36x = 516,202,872.57
  5. Step 5: Solve for x
    x = 516,202,872.57/29,469.36
  6. Step 6: Final answer
    x = 17,516.59

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Why These Related Problems?

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