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Finding the Fourth Proportional to 23,934, 35,906.76 and 7,518

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Solution

The fourth proportional to 23,934, 35,906.76 and 7,518 is: 11,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,934 : 35,906.76 = 7,518 : x
  2. Step 2: Convert to fraction form
    23,934/35,906.76 = 7,518/x
  3. Step 3: Cross multiply
    23,934x = 35,906.76 × 7,518
  4. Step 4: Simplify right side
    23,934x = 269,947,021.68
  5. Step 5: Solve for x
    x = 269,947,021.68/23,934
  6. Step 6: Final answer
    x = 11,278.81

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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.