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Finding the Fourth Proportional to 17,273.44, 25,911.78 and 6,886

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Solution

The fourth proportional to 17,273.44, 25,911.78 and 6,886 is: 10,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,273.44 : 25,911.78 = 6,886 : x
  2. Step 2: Convert to fraction form
    17,273.44/25,911.78 = 6,886/x
  3. Step 3: Cross multiply
    17,273.44x = 25,911.78 × 6,886
  4. Step 4: Simplify right side
    17,273.44x = 178,428,517.08
  5. Step 5: Solve for x
    x = 178,428,517.08/17,273.44
  6. Step 6: Final answer
    x = 10,329.65

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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.