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Finding the Fourth Proportional to 19,704.25, 29,540.41 and 13,448.52

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Solution

The fourth proportional to 19,704.25, 29,540.41 and 13,448.52 is: 20,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704.25 : 29,540.41 = 13,448.52 : x
  2. Step 2: Convert to fraction form
    19,704.25/29,540.41 = 13,448.52/x
  3. Step 3: Cross multiply
    19,704.25x = 29,540.41 × 13,448.52
  4. Step 4: Simplify right side
    19,704.25x = 397,274,761.07
  5. Step 5: Solve for x
    x = 397,274,761.07/19,704.25
  6. Step 6: Final answer
    x = 20,161.88

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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.