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Finding the Fourth Proportional to 13,786.50, 20,679.96 and 3,398.25

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Solution

The fourth proportional to 13,786.50, 20,679.96 and 3,398.25 is: 5,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786.50 : 20,679.96 = 3,398.25 : x
  2. Step 2: Convert to fraction form
    13,786.50/20,679.96 = 3,398.25/x
  3. Step 3: Cross multiply
    13,786.50x = 20,679.96 × 3,398.25
  4. Step 4: Simplify right side
    13,786.50x = 70,275,674.07
  5. Step 5: Solve for x
    x = 70,275,674.07/13,786.50
  6. Step 6: Final answer
    x = 5,097.43

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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.