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Finding the Fourth Proportional to 22,759, 34,138.52 and 6,343

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Solution

The fourth proportional to 22,759, 34,138.52 and 6,343 is: 9,514.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,759 : 34,138.52 = 6,343 : x
  2. Step 2: Convert to fraction form
    22,759/34,138.52 = 6,343/x
  3. Step 3: Cross multiply
    22,759x = 34,138.52 × 6,343
  4. Step 4: Simplify right side
    22,759x = 216,540,632.36
  5. Step 5: Solve for x
    x = 216,540,632.36/22,759
  6. Step 6: Final answer
    x = 9,514.51

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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.