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Finding the Fourth Proportional to 20,863.64, 31,287.26 and 8,380.33

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Solution

The fourth proportional to 20,863.64, 31,287.26 and 8,380.33 is: 12,567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,863.64 : 31,287.26 = 8,380.33 : x
  2. Step 2: Convert to fraction form
    20,863.64/31,287.26 = 8,380.33/x
  3. Step 3: Cross multiply
    20,863.64x = 31,287.26 × 8,380.33
  4. Step 4: Simplify right side
    20,863.64x = 262,197,506.33
  5. Step 5: Solve for x
    x = 262,197,506.33/20,863.64
  6. Step 6: Final answer
    x = 12,567.20

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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.