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Finding the Fourth Proportional to 16,761.73, 23,131.33 and 9,208.22

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Solution

The fourth proportional to 16,761.73, 23,131.33 and 9,208.22 is: 12,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,761.73 : 23,131.33 = 9,208.22 : x
  2. Step 2: Convert to fraction form
    16,761.73/23,131.33 = 9,208.22/x
  3. Step 3: Cross multiply
    16,761.73x = 23,131.33 × 9,208.22
  4. Step 4: Simplify right side
    16,761.73x = 212,998,410.34
  5. Step 5: Solve for x
    x = 212,998,410.34/16,761.73
  6. Step 6: Final answer
    x = 12,707.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.