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Finding the Fourth Proportional to 17,250.72, 25,882.02 and 7,894.68

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Solution

The fourth proportional to 17,250.72, 25,882.02 and 7,894.68 is: 11,844.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,250.72 : 25,882.02 = 7,894.68 : x
  2. Step 2: Convert to fraction form
    17,250.72/25,882.02 = 7,894.68/x
  3. Step 3: Cross multiply
    17,250.72x = 25,882.02 × 7,894.68
  4. Step 4: Simplify right side
    17,250.72x = 204,330,265.65
  5. Step 5: Solve for x
    x = 204,330,265.65/17,250.72
  6. Step 6: Final answer
    x = 11,844.74

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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.