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Finding the Fourth Proportional to 17,896.82, 26,834.20 and 6,049.47

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Solution

The fourth proportional to 17,896.82, 26,834.20 and 6,049.47 is: 9,070.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896.82 : 26,834.20 = 6,049.47 : x
  2. Step 2: Convert to fraction form
    17,896.82/26,834.20 = 6,049.47/x
  3. Step 3: Cross multiply
    17,896.82x = 26,834.20 × 6,049.47
  4. Step 4: Simplify right side
    17,896.82x = 162,332,657.63
  5. Step 5: Solve for x
    x = 162,332,657.63/17,896.82
  6. Step 6: Final answer
    x = 9,070.48

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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.