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Finding the Fourth Proportional to 13,796.89, 20,697.27 and 5,477.78

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Solution

The fourth proportional to 13,796.89, 20,697.27 and 5,477.78 is: 8,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.89 : 20,697.27 = 5,477.78 : x
  2. Step 2: Convert to fraction form
    13,796.89/20,697.27 = 5,477.78/x
  3. Step 3: Cross multiply
    13,796.89x = 20,697.27 × 5,477.78
  4. Step 4: Simplify right side
    13,796.89x = 113,375,091.66
  5. Step 5: Solve for x
    x = 113,375,091.66/13,796.89
  6. Step 6: Final answer
    x = 8,217.44

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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.