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Finding the Fourth Proportional to 13,704.46, 18,891.03 and 11,182.12

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Solution

The fourth proportional to 13,704.46, 18,891.03 and 11,182.12 is: 15,414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.46 : 18,891.03 = 11,182.12 : x
  2. Step 2: Convert to fraction form
    13,704.46/18,891.03 = 11,182.12/x
  3. Step 3: Cross multiply
    13,704.46x = 18,891.03 × 11,182.12
  4. Step 4: Simplify right side
    13,704.46x = 211,241,764.38
  5. Step 5: Solve for x
    x = 211,241,764.38/13,704.46
  6. Step 6: Final answer
    x = 15,414.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.