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Finding the Fourth Proportional to 17,322.72, 25,983.09 and 6,794.61

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Solution

The fourth proportional to 17,322.72, 25,983.09 and 6,794.61 is: 10,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,322.72 : 25,983.09 = 6,794.61 : x
  2. Step 2: Convert to fraction form
    17,322.72/25,983.09 = 6,794.61/x
  3. Step 3: Cross multiply
    17,322.72x = 25,983.09 × 6,794.61
  4. Step 4: Simplify right side
    17,322.72x = 176,544,963.14
  5. Step 5: Solve for x
    x = 176,544,963.14/17,322.72
  6. Step 6: Final answer
    x = 10,191.53

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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.