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Finding the Fourth Proportional to 20,519.19, 30,782.97 and 7,193.61

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Solution

The fourth proportional to 20,519.19, 30,782.97 and 7,193.61 is: 10,791.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,519.19 : 30,782.97 = 7,193.61 : x
  2. Step 2: Convert to fraction form
    20,519.19/30,782.97 = 7,193.61/x
  3. Step 3: Cross multiply
    20,519.19x = 30,782.97 × 7,193.61
  4. Step 4: Simplify right side
    20,519.19x = 221,440,680.82
  5. Step 5: Solve for x
    x = 221,440,680.82/20,519.19
  6. Step 6: Final answer
    x = 10,791.88

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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.