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Finding the Fourth Proportional to 20,540.64, 30,814.80 and 8,229.60

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Solution

The fourth proportional to 20,540.64, 30,814.80 and 8,229.60 is: 12,345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.64 : 30,814.80 = 8,229.60 : x
  2. Step 2: Convert to fraction form
    20,540.64/30,814.80 = 8,229.60/x
  3. Step 3: Cross multiply
    20,540.64x = 30,814.80 × 8,229.60
  4. Step 4: Simplify right side
    20,540.64x = 253,593,478.08
  5. Step 5: Solve for x
    x = 253,593,478.08/20,540.64
  6. Step 6: Final answer
    x = 12,345.94

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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.