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Finding the Fourth Proportional to 16,917.26, 23,348.66 and 9,847.85

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Solution

The fourth proportional to 16,917.26, 23,348.66 and 9,847.85 is: 13,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,917.26 : 23,348.66 = 9,847.85 : x
  2. Step 2: Convert to fraction form
    16,917.26/23,348.66 = 9,847.85/x
  3. Step 3: Cross multiply
    16,917.26x = 23,348.66 × 9,847.85
  4. Step 4: Simplify right side
    16,917.26x = 229,933,935.40
  5. Step 5: Solve for x
    x = 229,933,935.40/16,917.26
  6. Step 6: Final answer
    x = 13,591.68

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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.