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Finding the Fourth Proportional to 20,067, 30,079.96 and 13,061.09

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Solution

The fourth proportional to 20,067, 30,079.96 and 13,061.09 is: 19,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067 : 30,079.96 = 13,061.09 : x
  2. Step 2: Convert to fraction form
    20,067/30,079.96 = 13,061.09/x
  3. Step 3: Cross multiply
    20,067x = 30,079.96 × 13,061.09
  4. Step 4: Simplify right side
    20,067x = 392,877,064.76
  5. Step 5: Solve for x
    x = 392,877,064.76/20,067
  6. Step 6: Final answer
    x = 19,578.27

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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.