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Finding the Fourth Proportional to 20,546.27, 30,820.77 and 7,217.64

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Solution

The fourth proportional to 20,546.27, 30,820.77 and 7,217.64 is: 10,826.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546.27 : 30,820.77 = 7,217.64 : x
  2. Step 2: Convert to fraction form
    20,546.27/30,820.77 = 7,217.64/x
  3. Step 3: Cross multiply
    20,546.27x = 30,820.77 × 7,217.64
  4. Step 4: Simplify right side
    20,546.27x = 222,453,186.29
  5. Step 5: Solve for x
    x = 222,453,186.29/20,546.27
  6. Step 6: Final answer
    x = 10,826.94

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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.