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Finding the Fourth Proportional to 13,481.87, 20,231.91 and 4,716.86

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Solution

The fourth proportional to 13,481.87, 20,231.91 and 4,716.86 is: 7,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.87 : 20,231.91 = 4,716.86 : x
  2. Step 2: Convert to fraction form
    13,481.87/20,231.91 = 4,716.86/x
  3. Step 3: Cross multiply
    13,481.87x = 20,231.91 × 4,716.86
  4. Step 4: Simplify right side
    13,481.87x = 95,430,985.84
  5. Step 5: Solve for x
    x = 95,430,985.84/13,481.87
  6. Step 6: Final answer
    x = 7,078.47

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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.