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Finding the Fourth Proportional to 17,224.86, 25,815.41 and 8,338.35

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Solution

The fourth proportional to 17,224.86, 25,815.41 and 8,338.35 is: 12,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,224.86 : 25,815.41 = 8,338.35 : x
  2. Step 2: Convert to fraction form
    17,224.86/25,815.41 = 8,338.35/x
  3. Step 3: Cross multiply
    17,224.86x = 25,815.41 × 8,338.35
  4. Step 4: Simplify right side
    17,224.86x = 215,257,923.97
  5. Step 5: Solve for x
    x = 215,257,923.97/17,224.86
  6. Step 6: Final answer
    x = 12,496.93

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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.