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Finding the Fourth Proportional to 20,665.46, 30,993.53 and 5,874.05

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Solution

The fourth proportional to 20,665.46, 30,993.53 and 5,874.05 is: 8,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.46 : 30,993.53 = 5,874.05 : x
  2. Step 2: Convert to fraction form
    20,665.46/30,993.53 = 5,874.05/x
  3. Step 3: Cross multiply
    20,665.46x = 30,993.53 × 5,874.05
  4. Step 4: Simplify right side
    20,665.46x = 182,057,360.56
  5. Step 5: Solve for x
    x = 182,057,360.56/20,665.46
  6. Step 6: Final answer
    x = 8,809.74

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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.