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Finding the Fourth Proportional to 20,850.93, 31,284.09 and 9,761.22

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Solution

The fourth proportional to 20,850.93, 31,284.09 and 9,761.22 is: 14,645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850.93 : 31,284.09 = 9,761.22 : x
  2. Step 2: Convert to fraction form
    20,850.93/31,284.09 = 9,761.22/x
  3. Step 3: Cross multiply
    20,850.93x = 31,284.09 × 9,761.22
  4. Step 4: Simplify right side
    20,850.93x = 305,370,884.99
  5. Step 5: Solve for x
    x = 305,370,884.99/20,850.93
  6. Step 6: Final answer
    x = 14,645.43

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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.