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Finding the Fourth Proportional to 20,163.92, 30,245.88 and 6,314

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Solution

The fourth proportional to 20,163.92, 30,245.88 and 6,314 is: 9,471

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.92 : 30,245.88 = 6,314 : x
  2. Step 2: Convert to fraction form
    20,163.92/30,245.88 = 6,314/x
  3. Step 3: Cross multiply
    20,163.92x = 30,245.88 × 6,314
  4. Step 4: Simplify right side
    20,163.92x = 190,972,486.32
  5. Step 5: Solve for x
    x = 190,972,486.32/20,163.92
  6. Step 6: Final answer
    x = 9,471

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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.