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Finding the Fourth Proportional to 23,222.52, 34,837.97 and 8,452.17

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Solution

The fourth proportional to 23,222.52, 34,837.97 and 8,452.17 is: 12,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,222.52 : 34,837.97 = 8,452.17 : x
  2. Step 2: Convert to fraction form
    23,222.52/34,837.97 = 8,452.17/x
  3. Step 3: Cross multiply
    23,222.52x = 34,837.97 × 8,452.17
  4. Step 4: Simplify right side
    23,222.52x = 294,456,402.63
  5. Step 5: Solve for x
    x = 294,456,402.63/23,222.52
  6. Step 6: Final answer
    x = 12,679.78

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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.