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Finding the Fourth Proportional to 20,811.75, 31,212.43 and 8,164.08

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Solution

The fourth proportional to 20,811.75, 31,212.43 and 8,164.08 is: 12,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,811.75 : 31,212.43 = 8,164.08 : x
  2. Step 2: Convert to fraction form
    20,811.75/31,212.43 = 8,164.08/x
  3. Step 3: Cross multiply
    20,811.75x = 31,212.43 × 8,164.08
  4. Step 4: Simplify right side
    20,811.75x = 254,820,734.17
  5. Step 5: Solve for x
    x = 254,820,734.17/20,811.75
  6. Step 6: Final answer
    x = 12,244.08

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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.