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Finding the Fourth Proportional to 16,519.46, 22,796.91 and 8,965.80

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Solution

The fourth proportional to 16,519.46, 22,796.91 and 8,965.80 is: 12,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,519.46 : 22,796.91 = 8,965.80 : x
  2. Step 2: Convert to fraction form
    16,519.46/22,796.91 = 8,965.80/x
  3. Step 3: Cross multiply
    16,519.46x = 22,796.91 × 8,965.80
  4. Step 4: Simplify right side
    16,519.46x = 204,392,535.68
  5. Step 5: Solve for x
    x = 204,392,535.68/16,519.46
  6. Step 6: Final answer
    x = 12,372.84

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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.