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Finding the Fourth Proportional to 24,611.28, 33,982.92 and 19,816

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Solution

The fourth proportional to 24,611.28, 33,982.92 and 19,816 is: 27,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,611.28 : 33,982.92 = 19,816 : x
  2. Step 2: Convert to fraction form
    24,611.28/33,982.92 = 19,816/x
  3. Step 3: Cross multiply
    24,611.28x = 33,982.92 × 19,816
  4. Step 4: Simplify right side
    24,611.28x = 673,405,542.72
  5. Step 5: Solve for x
    x = 673,405,542.72/24,611.28
  6. Step 6: Final answer
    x = 27,361.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.