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Finding the Fourth Proportional to 13,812.86, 20,704.50 and 5,481.33

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Solution

The fourth proportional to 13,812.86, 20,704.50 and 5,481.33 is: 8,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.86 : 20,704.50 = 5,481.33 : x
  2. Step 2: Convert to fraction form
    13,812.86/20,704.50 = 5,481.33/x
  3. Step 3: Cross multiply
    13,812.86x = 20,704.50 × 5,481.33
  4. Step 4: Simplify right side
    13,812.86x = 113,488,196.99
  5. Step 5: Solve for x
    x = 113,488,196.99/13,812.86
  6. Step 6: Final answer
    x = 8,216.13

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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.