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Finding the Fourth Proportional to 13,729.69, 18,930.17 and 11,601.43

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Solution

The fourth proportional to 13,729.69, 18,930.17 and 11,601.43 is: 15,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.69 : 18,930.17 = 11,601.43 : x
  2. Step 2: Convert to fraction form
    13,729.69/18,930.17 = 11,601.43/x
  3. Step 3: Cross multiply
    13,729.69x = 18,930.17 × 11,601.43
  4. Step 4: Simplify right side
    13,729.69x = 219,616,976.50
  5. Step 5: Solve for x
    x = 219,616,976.50/13,729.69
  6. Step 6: Final answer
    x = 15,995.78

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