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Finding the Fourth Proportional to 13,524.24, 20,290.24 and 7,982.64

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Solution

The fourth proportional to 13,524.24, 20,290.24 and 7,982.64 is: 11,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.24 : 20,290.24 = 7,982.64 : x
  2. Step 2: Convert to fraction form
    13,524.24/20,290.24 = 7,982.64/x
  3. Step 3: Cross multiply
    13,524.24x = 20,290.24 × 7,982.64
  4. Step 4: Simplify right side
    13,524.24x = 161,969,681.43
  5. Step 5: Solve for x
    x = 161,969,681.43/13,524.24
  6. Step 6: Final answer
    x = 11,976.25

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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.