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Finding the Fourth Proportional to 16,505.82, 22,770.66 and 9,791.73

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Solution

The fourth proportional to 16,505.82, 22,770.66 and 9,791.73 is: 13,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.82 : 22,770.66 = 9,791.73 : x
  2. Step 2: Convert to fraction form
    16,505.82/22,770.66 = 9,791.73/x
  3. Step 3: Cross multiply
    16,505.82x = 22,770.66 × 9,791.73
  4. Step 4: Simplify right side
    16,505.82x = 222,964,154.64
  5. Step 5: Solve for x
    x = 222,964,154.64/16,505.82
  6. Step 6: Final answer
    x = 13,508.21

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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.