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Finding the Fourth Proportional to 13,806, 20,676.06 and 7,950.33

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Solution

The fourth proportional to 13,806, 20,676.06 and 7,950.33 is: 11,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806 : 20,676.06 = 7,950.33 : x
  2. Step 2: Convert to fraction form
    13,806/20,676.06 = 7,950.33/x
  3. Step 3: Cross multiply
    13,806x = 20,676.06 × 7,950.33
  4. Step 4: Simplify right side
    13,806x = 164,381,500.10
  5. Step 5: Solve for x
    x = 164,381,500.10/13,806
  6. Step 6: Final answer
    x = 11,906.53

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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.