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Finding the Fourth Proportional to 16,761.84, 23,131.49 and 9,208.33

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Solution

The fourth proportional to 16,761.84, 23,131.49 and 9,208.33 is: 12,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,761.84 : 23,131.49 = 9,208.33 : x
  2. Step 2: Convert to fraction form
    16,761.84/23,131.49 = 9,208.33/x
  3. Step 3: Cross multiply
    16,761.84x = 23,131.49 × 9,208.33
  4. Step 4: Simplify right side
    16,761.84x = 213,002,393.31
  5. Step 5: Solve for x
    x = 213,002,393.31/16,761.84
  6. Step 6: Final answer
    x = 12,707.58

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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.