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Finding the Fourth Proportional to 20,512.14, 30,773.01 and 6,661.14

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Solution

The fourth proportional to 20,512.14, 30,773.01 and 6,661.14 is: 9,993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.14 : 30,773.01 = 6,661.14 : x
  2. Step 2: Convert to fraction form
    20,512.14/30,773.01 = 6,661.14/x
  3. Step 3: Cross multiply
    20,512.14x = 30,773.01 × 6,661.14
  4. Step 4: Simplify right side
    20,512.14x = 204,983,327.83
  5. Step 5: Solve for x
    x = 204,983,327.83/20,512.14
  6. Step 6: Final answer
    x = 9,993.27

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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.