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Finding the Fourth Proportional to 13,791.50, 20,687.67 and 3,403.25

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Solution

The fourth proportional to 13,791.50, 20,687.67 and 3,403.25 is: 5,104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.50 : 20,687.67 = 3,403.25 : x
  2. Step 2: Convert to fraction form
    13,791.50/20,687.67 = 3,403.25/x
  3. Step 3: Cross multiply
    13,791.50x = 20,687.67 × 3,403.25
  4. Step 4: Simplify right side
    13,791.50x = 70,405,312.93
  5. Step 5: Solve for x
    x = 70,405,312.93/13,791.50
  6. Step 6: Final answer
    x = 5,104.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.