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Finding the Fourth Proportional to 16,906.64, 23,329.69 and 9,352.85

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Solution

The fourth proportional to 16,906.64, 23,329.69 and 9,352.85 is: 12,906.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.64 : 23,329.69 = 9,352.85 : x
  2. Step 2: Convert to fraction form
    16,906.64/23,329.69 = 9,352.85/x
  3. Step 3: Cross multiply
    16,906.64x = 23,329.69 × 9,352.85
  4. Step 4: Simplify right side
    16,906.64x = 218,198,951.09
  5. Step 5: Solve for x
    x = 218,198,951.09/16,906.64
  6. Step 6: Final answer
    x = 12,906.11

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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.