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Finding the Fourth Proportional to 16,786.19, 23,163.81 and 9,616.13

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Solution

The fourth proportional to 16,786.19, 23,163.81 and 9,616.13 is: 13,269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,786.19 : 23,163.81 = 9,616.13 : x
  2. Step 2: Convert to fraction form
    16,786.19/23,163.81 = 9,616.13/x
  3. Step 3: Cross multiply
    16,786.19x = 23,163.81 × 9,616.13
  4. Step 4: Simplify right side
    16,786.19x = 222,746,302.23
  5. Step 5: Solve for x
    x = 222,746,302.23/16,786.19
  6. Step 6: Final answer
    x = 13,269.61

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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.