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Finding the Fourth Proportional to 20,072.76, 30,107.43 and 8,223.15

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Solution

The fourth proportional to 20,072.76, 30,107.43 and 8,223.15 is: 12,334.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072.76 : 30,107.43 = 8,223.15 : x
  2. Step 2: Convert to fraction form
    20,072.76/30,107.43 = 8,223.15/x
  3. Step 3: Cross multiply
    20,072.76x = 30,107.43 × 8,223.15
  4. Step 4: Simplify right side
    20,072.76x = 247,577,769.26
  5. Step 5: Solve for x
    x = 247,577,769.26/20,072.76
  6. Step 6: Final answer
    x = 12,334.02

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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.