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Finding the Fourth Proportional to 17,616.39, 24,310.41 and 9,658.62

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Solution

The fourth proportional to 17,616.39, 24,310.41 and 9,658.62 is: 13,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616.39 : 24,310.41 = 9,658.62 : x
  2. Step 2: Convert to fraction form
    17,616.39/24,310.41 = 9,658.62/x
  3. Step 3: Cross multiply
    17,616.39x = 24,310.41 × 9,658.62
  4. Step 4: Simplify right side
    17,616.39x = 234,805,012.23
  5. Step 5: Solve for x
    x = 234,805,012.23/17,616.39
  6. Step 6: Final answer
    x = 13,328.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.