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Finding the Fourth Proportional to 13,910.75, 20,879.79 and 10,202.42

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Solution

The fourth proportional to 13,910.75, 20,879.79 and 10,202.42 is: 15,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.75 : 20,879.79 = 10,202.42 : x
  2. Step 2: Convert to fraction form
    13,910.75/20,879.79 = 10,202.42/x
  3. Step 3: Cross multiply
    13,910.75x = 20,879.79 × 10,202.42
  4. Step 4: Simplify right side
    13,910.75x = 213,024,399.25
  5. Step 5: Solve for x
    x = 213,024,399.25/13,910.75
  6. Step 6: Final answer
    x = 15,313.65

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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.