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Finding the Fourth Proportional to 20,286.75, 30,409.20 and 8,447.40

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Solution

The fourth proportional to 20,286.75, 30,409.20 and 8,447.40 is: 12,662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286.75 : 30,409.20 = 8,447.40 : x
  2. Step 2: Convert to fraction form
    20,286.75/30,409.20 = 8,447.40/x
  3. Step 3: Cross multiply
    20,286.75x = 30,409.20 × 8,447.40
  4. Step 4: Simplify right side
    20,286.75x = 256,878,676.08
  5. Step 5: Solve for x
    x = 256,878,676.08/20,286.75
  6. Step 6: Final answer
    x = 12,662.39

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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.