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Finding the Fourth Proportional to 17,616.33, 24,310.50 and 9,659.06

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Solution

The fourth proportional to 17,616.33, 24,310.50 and 9,659.06 is: 13,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616.33 : 24,310.50 = 9,659.06 : x
  2. Step 2: Convert to fraction form
    17,616.33/24,310.50 = 9,659.06/x
  3. Step 3: Cross multiply
    17,616.33x = 24,310.50 × 9,659.06
  4. Step 4: Simplify right side
    17,616.33x = 234,816,511.52
  5. Step 5: Solve for x
    x = 234,816,511.52/17,616.33
  6. Step 6: Final answer
    x = 13,329.48

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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.