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Finding the Fourth Proportional to 13,940.70, 20,910.24 and 10,196.31

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Solution

The fourth proportional to 13,940.70, 20,910.24 and 10,196.31 is: 15,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.70 : 20,910.24 = 10,196.31 : x
  2. Step 2: Convert to fraction form
    13,940.70/20,910.24 = 10,196.31/x
  3. Step 3: Cross multiply
    13,940.70x = 20,910.24 × 10,196.31
  4. Step 4: Simplify right side
    13,940.70x = 213,207,289.21
  5. Step 5: Solve for x
    x = 213,207,289.21/13,940.70
  6. Step 6: Final answer
    x = 15,293.87

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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.