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Finding the Fourth Proportional to 20,144.57, 30,216.95 and 6,817.69

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Solution

The fourth proportional to 20,144.57, 30,216.95 and 6,817.69 is: 10,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.57 : 30,216.95 = 6,817.69 : x
  2. Step 2: Convert to fraction form
    20,144.57/30,216.95 = 6,817.69/x
  3. Step 3: Cross multiply
    20,144.57x = 30,216.95 × 6,817.69
  4. Step 4: Simplify right side
    20,144.57x = 206,009,657.12
  5. Step 5: Solve for x
    x = 206,009,657.12/20,144.57
  6. Step 6: Final answer
    x = 10,226.56

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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.