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Finding the Fourth Proportional to 17,367.28, 26,057.17 and 6,831.46

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Solution

The fourth proportional to 17,367.28, 26,057.17 and 6,831.46 is: 10,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,367.28 : 26,057.17 = 6,831.46 : x
  2. Step 2: Convert to fraction form
    17,367.28/26,057.17 = 6,831.46/x
  3. Step 3: Cross multiply
    17,367.28x = 26,057.17 × 6,831.46
  4. Step 4: Simplify right side
    17,367.28x = 178,008,514.57
  5. Step 5: Solve for x
    x = 178,008,514.57/17,367.28
  6. Step 6: Final answer
    x = 10,249.65

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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.