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Finding the Fourth Proportional to 20,193.98, 30,271.79 and 7,042.82

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Solution

The fourth proportional to 20,193.98, 30,271.79 and 7,042.82 is: 10,557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.98 : 30,271.79 = 7,042.82 : x
  2. Step 2: Convert to fraction form
    20,193.98/30,271.79 = 7,042.82/x
  3. Step 3: Cross multiply
    20,193.98x = 30,271.79 × 7,042.82
  4. Step 4: Simplify right side
    20,193.98x = 213,198,634.30
  5. Step 5: Solve for x
    x = 213,198,634.30/20,193.98
  6. Step 6: Final answer
    x = 10,557.54

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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.