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Finding the Fourth Proportional to 13,769.60, 20,640.20 and 5,446.25

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Solution

The fourth proportional to 13,769.60, 20,640.20 and 5,446.25 is: 8,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.60 : 20,640.20 = 5,446.25 : x
  2. Step 2: Convert to fraction form
    13,769.60/20,640.20 = 5,446.25/x
  3. Step 3: Cross multiply
    13,769.60x = 20,640.20 × 5,446.25
  4. Step 4: Simplify right side
    13,769.60x = 112,411,558.82
  5. Step 5: Solve for x
    x = 112,411,558.82/13,769.60
  6. Step 6: Final answer
    x = 8,163.75

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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.