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Finding the Fourth Proportional to 16,716.26, 23,068.26 and 9,163.02

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Solution

The fourth proportional to 16,716.26, 23,068.26 and 9,163.02 is: 12,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716.26 : 23,068.26 = 9,163.02 : x
  2. Step 2: Convert to fraction form
    16,716.26/23,068.26 = 9,163.02/x
  3. Step 3: Cross multiply
    16,716.26x = 23,068.26 × 9,163.02
  4. Step 4: Simplify right side
    16,716.26x = 211,374,927.75
  5. Step 5: Solve for x
    x = 211,374,927.75/16,716.26
  6. Step 6: Final answer
    x = 12,644.87

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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.