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Finding the Fourth Proportional to 20,196.83, 30,295.47 and 7,049.25

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Solution

The fourth proportional to 20,196.83, 30,295.47 and 7,049.25 is: 10,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.83 : 30,295.47 = 7,049.25 : x
  2. Step 2: Convert to fraction form
    20,196.83/30,295.47 = 7,049.25/x
  3. Step 3: Cross multiply
    20,196.83x = 30,295.47 × 7,049.25
  4. Step 4: Simplify right side
    20,196.83x = 213,560,306.65
  5. Step 5: Solve for x
    x = 213,560,306.65/20,196.83
  6. Step 6: Final answer
    x = 10,573.95

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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.