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Finding the Fourth Proportional to 17,007.15, 25,514.81 and 8,231.82

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Solution

The fourth proportional to 17,007.15, 25,514.81 and 8,231.82 is: 12,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,007.15 : 25,514.81 = 8,231.82 : x
  2. Step 2: Convert to fraction form
    17,007.15/25,514.81 = 8,231.82/x
  3. Step 3: Cross multiply
    17,007.15x = 25,514.81 × 8,231.82
  4. Step 4: Simplify right side
    17,007.15x = 210,033,323.25
  5. Step 5: Solve for x
    x = 210,033,323.25/17,007.15
  6. Step 6: Final answer
    x = 12,349.71

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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.