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Finding the Fourth Proportional to 16,690.80, 23,033.67 and 9,137.46

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Solution

The fourth proportional to 16,690.80, 23,033.67 and 9,137.46 is: 12,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,690.80 : 23,033.67 = 9,137.46 : x
  2. Step 2: Convert to fraction form
    16,690.80/23,033.67 = 9,137.46/x
  3. Step 3: Cross multiply
    16,690.80x = 23,033.67 × 9,137.46
  4. Step 4: Simplify right side
    16,690.80x = 210,469,238.28
  5. Step 5: Solve for x
    x = 210,469,238.28/16,690.80
  6. Step 6: Final answer
    x = 12,609.90

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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.