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Finding the Fourth Proportional to 20,433.57, 30,662.15 and 8,586.41

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Solution

The fourth proportional to 20,433.57, 30,662.15 and 8,586.41 is: 12,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,433.57 : 30,662.15 = 8,586.41 : x
  2. Step 2: Convert to fraction form
    20,433.57/30,662.15 = 8,586.41/x
  3. Step 3: Cross multiply
    20,433.57x = 30,662.15 × 8,586.41
  4. Step 4: Simplify right side
    20,433.57x = 263,277,595.14
  5. Step 5: Solve for x
    x = 263,277,595.14/20,433.57
  6. Step 6: Final answer
    x = 12,884.56

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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.