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Finding the Fourth Proportional to 13,768.08, 20,640.42 and 5,453.96

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Solution

The fourth proportional to 13,768.08, 20,640.42 and 5,453.96 is: 8,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.08 : 20,640.42 = 5,453.96 : x
  2. Step 2: Convert to fraction form
    13,768.08/20,640.42 = 5,453.96/x
  3. Step 3: Cross multiply
    13,768.08x = 20,640.42 × 5,453.96
  4. Step 4: Simplify right side
    13,768.08x = 112,572,025.06
  5. Step 5: Solve for x
    x = 112,572,025.06/13,768.08
  6. Step 6: Final answer
    x = 8,176.31

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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.