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Finding the Fourth Proportional to 20,568.66, 30,832.21 and 8,097.43

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Solution

The fourth proportional to 20,568.66, 30,832.21 and 8,097.43 is: 12,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568.66 : 30,832.21 = 8,097.43 : x
  2. Step 2: Convert to fraction form
    20,568.66/30,832.21 = 8,097.43/x
  3. Step 3: Cross multiply
    20,568.66x = 30,832.21 × 8,097.43
  4. Step 4: Simplify right side
    20,568.66x = 249,661,820.37
  5. Step 5: Solve for x
    x = 249,661,820.37/20,568.66
  6. Step 6: Final answer
    x = 12,137.97

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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.