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Finding the Fourth Proportional to 13,912.89, 20,871.77 and 6,121.50

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Solution

The fourth proportional to 13,912.89, 20,871.77 and 6,121.50 is: 9,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.89 : 20,871.77 = 6,121.50 : x
  2. Step 2: Convert to fraction form
    13,912.89/20,871.77 = 6,121.50/x
  3. Step 3: Cross multiply
    13,912.89x = 20,871.77 × 6,121.50
  4. Step 4: Simplify right side
    13,912.89x = 127,766,509.45
  5. Step 5: Solve for x
    x = 127,766,509.45/13,912.89
  6. Step 6: Final answer
    x = 9,183.32

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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.