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Finding the Fourth Proportional to 17,236.78, 25,855.26 and 6,848.56

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Solution

The fourth proportional to 17,236.78, 25,855.26 and 6,848.56 is: 10,272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,236.78 : 25,855.26 = 6,848.56 : x
  2. Step 2: Convert to fraction form
    17,236.78/25,855.26 = 6,848.56/x
  3. Step 3: Cross multiply
    17,236.78x = 25,855.26 × 6,848.56
  4. Step 4: Simplify right side
    17,236.78x = 177,071,299.43
  5. Step 5: Solve for x
    x = 177,071,299.43/17,236.78
  6. Step 6: Final answer
    x = 10,272.88

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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.