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Finding the Fourth Proportional to 13,853.70, 20,780.61 and 3,993.18

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Solution

The fourth proportional to 13,853.70, 20,780.61 and 3,993.18 is: 5,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.70 : 20,780.61 = 3,993.18 : x
  2. Step 2: Convert to fraction form
    13,853.70/20,780.61 = 3,993.18/x
  3. Step 3: Cross multiply
    13,853.70x = 20,780.61 × 3,993.18
  4. Step 4: Simplify right side
    13,853.70x = 82,980,716.24
  5. Step 5: Solve for x
    x = 82,980,716.24/13,853.70
  6. Step 6: Final answer
    x = 5,989.79

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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.