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Finding the Fourth Proportional to 16,519.49, 22,796.70 and 8,965.83

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Solution

The fourth proportional to 16,519.49, 22,796.70 and 8,965.83 is: 12,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,519.49 : 22,796.70 = 8,965.83 : x
  2. Step 2: Convert to fraction form
    16,519.49/22,796.70 = 8,965.83/x
  3. Step 3: Cross multiply
    16,519.49x = 22,796.70 × 8,965.83
  4. Step 4: Simplify right side
    16,519.49x = 204,391,336.76
  5. Step 5: Solve for x
    x = 204,391,336.76/16,519.49
  6. Step 6: Final answer
    x = 12,372.74

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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.