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Finding the Fourth Proportional to 20,811.75, 31,217.66 and 8,499.75

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Solution

The fourth proportional to 20,811.75, 31,217.66 and 8,499.75 is: 12,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,811.75 : 31,217.66 = 8,499.75 : x
  2. Step 2: Convert to fraction form
    20,811.75/31,217.66 = 8,499.75/x
  3. Step 3: Cross multiply
    20,811.75x = 31,217.66 × 8,499.75
  4. Step 4: Simplify right side
    20,811.75x = 265,342,263.09
  5. Step 5: Solve for x
    x = 265,342,263.09/20,811.75
  6. Step 6: Final answer
    x = 12,749.64

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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.