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Finding the Fourth Proportional to 20,540.76, 30,803.94 and 5,745.70

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Solution

The fourth proportional to 20,540.76, 30,803.94 and 5,745.70 is: 8,616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.76 : 30,803.94 = 5,745.70 : x
  2. Step 2: Convert to fraction form
    20,540.76/30,803.94 = 5,745.70/x
  3. Step 3: Cross multiply
    20,540.76x = 30,803.94 × 5,745.70
  4. Step 4: Simplify right side
    20,540.76x = 176,990,198.06
  5. Step 5: Solve for x
    x = 176,990,198.06/20,540.76
  6. Step 6: Final answer
    x = 8,616.54

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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.