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Finding the Fourth Proportional to 13,979.22, 20,975.97 and 7,738.05

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Solution

The fourth proportional to 13,979.22, 20,975.97 and 7,738.05 is: 11,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,979.22 : 20,975.97 = 7,738.05 : x
  2. Step 2: Convert to fraction form
    13,979.22/20,975.97 = 7,738.05/x
  3. Step 3: Cross multiply
    13,979.22x = 20,975.97 × 7,738.05
  4. Step 4: Simplify right side
    13,979.22x = 162,313,104.66
  5. Step 5: Solve for x
    x = 162,313,104.66/13,979.22
  6. Step 6: Final answer
    x = 11,611.03

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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.