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Finding the Fourth Proportional to 16,716.83, 23,068.89 and 9,163.17

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Solution

The fourth proportional to 16,716.83, 23,068.89 and 9,163.17 is: 12,644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716.83 : 23,068.89 = 9,163.17 : x
  2. Step 2: Convert to fraction form
    16,716.83/23,068.89 = 9,163.17/x
  3. Step 3: Cross multiply
    16,716.83x = 23,068.89 × 9,163.17
  4. Step 4: Simplify right side
    16,716.83x = 211,384,160.78
  5. Step 5: Solve for x
    x = 211,384,160.78/16,716.83
  6. Step 6: Final answer
    x = 12,644.99

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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.