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Finding the Fourth Proportional to 16,338.70, 22,549.08 and 9,626.44

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Solution

The fourth proportional to 16,338.70, 22,549.08 and 9,626.44 is: 13,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.70 : 22,549.08 = 9,626.44 : x
  2. Step 2: Convert to fraction form
    16,338.70/22,549.08 = 9,626.44/x
  3. Step 3: Cross multiply
    16,338.70x = 22,549.08 × 9,626.44
  4. Step 4: Simplify right side
    16,338.70x = 217,067,365.68
  5. Step 5: Solve for x
    x = 217,067,365.68/16,338.70
  6. Step 6: Final answer
    x = 13,285.47

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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.