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Finding the Fourth Proportional to 20,774.75, 31,163.92 and 6,546.49

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Solution

The fourth proportional to 20,774.75, 31,163.92 and 6,546.49 is: 9,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774.75 : 31,163.92 = 6,546.49 : x
  2. Step 2: Convert to fraction form
    20,774.75/31,163.92 = 6,546.49/x
  3. Step 3: Cross multiply
    20,774.75x = 31,163.92 × 6,546.49
  4. Step 4: Simplify right side
    20,774.75x = 204,014,196.36
  5. Step 5: Solve for x
    x = 204,014,196.36/20,774.75
  6. Step 6: Final answer
    x = 9,820.30

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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.