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Finding the Fourth Proportional to 20,511.64, 30,772.26 and 6,660.64

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Solution

The fourth proportional to 20,511.64, 30,772.26 and 6,660.64 is: 9,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511.64 : 30,772.26 = 6,660.64 : x
  2. Step 2: Convert to fraction form
    20,511.64/30,772.26 = 6,660.64/x
  3. Step 3: Cross multiply
    20,511.64x = 30,772.26 × 6,660.64
  4. Step 4: Simplify right side
    20,511.64x = 204,962,945.85
  5. Step 5: Solve for x
    x = 204,962,945.85/20,511.64
  6. Step 6: Final answer
    x = 9,992.52

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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.