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Finding the Fourth Proportional to 17,843.94, 26,764.56 and 6,749.64

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Solution

The fourth proportional to 17,843.94, 26,764.56 and 6,749.64 is: 10,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,843.94 : 26,764.56 = 6,749.64 : x
  2. Step 2: Convert to fraction form
    17,843.94/26,764.56 = 6,749.64/x
  3. Step 3: Cross multiply
    17,843.94x = 26,764.56 × 6,749.64
  4. Step 4: Simplify right side
    17,843.94x = 180,651,144.76
  5. Step 5: Solve for x
    x = 180,651,144.76/17,843.94
  6. Step 6: Final answer
    x = 10,123.95

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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.