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Finding the Fourth Proportional to 17,474.80, 26,223 and 7,086.64

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Solution

The fourth proportional to 17,474.80, 26,223 and 7,086.64 is: 10,634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474.80 : 26,223 = 7,086.64 : x
  2. Step 2: Convert to fraction form
    17,474.80/26,223 = 7,086.64/x
  3. Step 3: Cross multiply
    17,474.80x = 26,223 × 7,086.64
  4. Step 4: Simplify right side
    17,474.80x = 185,832,960.72
  5. Step 5: Solve for x
    x = 185,832,960.72/17,474.80
  6. Step 6: Final answer
    x = 10,634.34

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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.