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Finding the Fourth Proportional to 15,205.14, 22,806.97 and 5,843.36

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Solution

The fourth proportional to 15,205.14, 22,806.97 and 5,843.36 is: 8,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.14 : 22,806.97 = 5,843.36 : x
  2. Step 2: Convert to fraction form
    15,205.14/22,806.97 = 5,843.36/x
  3. Step 3: Cross multiply
    15,205.14x = 22,806.97 × 5,843.36
  4. Step 4: Simplify right side
    15,205.14x = 133,269,378.63
  5. Step 5: Solve for x
    x = 133,269,378.63/15,205.14
  6. Step 6: Final answer
    x = 8,764.76

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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.