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Finding the Fourth Proportional to 13,406.49, 20,108.03 and 3,546.54

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Solution

The fourth proportional to 13,406.49, 20,108.03 and 3,546.54 is: 5,319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.49 : 20,108.03 = 3,546.54 : x
  2. Step 2: Convert to fraction form
    13,406.49/20,108.03 = 3,546.54/x
  3. Step 3: Cross multiply
    13,406.49x = 20,108.03 × 3,546.54
  4. Step 4: Simplify right side
    13,406.49x = 71,313,914.98
  5. Step 5: Solve for x
    x = 71,313,914.98/13,406.49
  6. Step 6: Final answer
    x = 5,319.36

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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.