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Finding the Fourth Proportional to 20,175.98, 30,251.67 and 7,682.66

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Solution

The fourth proportional to 20,175.98, 30,251.67 and 7,682.66 is: 11,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.98 : 30,251.67 = 7,682.66 : x
  2. Step 2: Convert to fraction form
    20,175.98/30,251.67 = 7,682.66/x
  3. Step 3: Cross multiply
    20,175.98x = 30,251.67 × 7,682.66
  4. Step 4: Simplify right side
    20,175.98x = 232,413,295.04
  5. Step 5: Solve for x
    x = 232,413,295.04/20,175.98
  6. Step 6: Final answer
    x = 11,519.31

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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.