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Finding the Fourth Proportional to 13,804.24, 20,692.86 and 5,481.49

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Solution

The fourth proportional to 13,804.24, 20,692.86 and 5,481.49 is: 8,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.24 : 20,692.86 = 5,481.49 : x
  2. Step 2: Convert to fraction form
    13,804.24/20,692.86 = 5,481.49/x
  3. Step 3: Cross multiply
    13,804.24x = 20,692.86 × 5,481.49
  4. Step 4: Simplify right side
    13,804.24x = 113,427,705.16
  5. Step 5: Solve for x
    x = 113,427,705.16/13,804.24
  6. Step 6: Final answer
    x = 8,216.87

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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.