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Finding the Fourth Proportional to 17,168.87, 25,766.49 and 7,684.13

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Solution

The fourth proportional to 17,168.87, 25,766.49 and 7,684.13 is: 11,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,168.87 : 25,766.49 = 7,684.13 : x
  2. Step 2: Convert to fraction form
    17,168.87/25,766.49 = 7,684.13/x
  3. Step 3: Cross multiply
    17,168.87x = 25,766.49 × 7,684.13
  4. Step 4: Simplify right side
    17,168.87x = 197,993,058.80
  5. Step 5: Solve for x
    x = 197,993,058.80/17,168.87
  6. Step 6: Final answer
    x = 11,532.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.