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Finding the Fourth Proportional to 20,584.46, 30,879.56 and 6,543

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Solution

The fourth proportional to 20,584.46, 30,879.56 and 6,543 is: 9,815.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.46 : 30,879.56 = 6,543 : x
  2. Step 2: Convert to fraction form
    20,584.46/30,879.56 = 6,543/x
  3. Step 3: Cross multiply
    20,584.46x = 30,879.56 × 6,543
  4. Step 4: Simplify right side
    20,584.46x = 202,044,977.44
  5. Step 5: Solve for x
    x = 202,044,977.44/20,584.46
  6. Step 6: Final answer
    x = 9,815.41

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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.