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Finding the Fourth Proportional to 16,489.67, 22,755.77 and 9,682.37

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Solution

The fourth proportional to 16,489.67, 22,755.77 and 9,682.37 is: 13,361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.67 : 22,755.77 = 9,682.37 : x
  2. Step 2: Convert to fraction form
    16,489.67/22,755.77 = 9,682.37/x
  3. Step 3: Cross multiply
    16,489.67x = 22,755.77 × 9,682.37
  4. Step 4: Simplify right side
    16,489.67x = 220,329,736.36
  5. Step 5: Solve for x
    x = 220,329,736.36/16,489.67
  6. Step 6: Final answer
    x = 13,361.69

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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.