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Finding the Fourth Proportional to 20,198.12, 30,299.82 and 7,054.28

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Solution

The fourth proportional to 20,198.12, 30,299.82 and 7,054.28 is: 10,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.12 : 30,299.82 = 7,054.28 : x
  2. Step 2: Convert to fraction form
    20,198.12/30,299.82 = 7,054.28/x
  3. Step 3: Cross multiply
    20,198.12x = 30,299.82 × 7,054.28
  4. Step 4: Simplify right side
    20,198.12x = 213,743,414.23
  5. Step 5: Solve for x
    x = 213,743,414.23/20,198.12
  6. Step 6: Final answer
    x = 10,582.34

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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.