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Finding the Fourth Proportional to 17,768.44, 26,658.78 and 7,914.52

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Solution

The fourth proportional to 17,768.44, 26,658.78 and 7,914.52 is: 11,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768.44 : 26,658.78 = 7,914.52 : x
  2. Step 2: Convert to fraction form
    17,768.44/26,658.78 = 7,914.52/x
  3. Step 3: Cross multiply
    17,768.44x = 26,658.78 × 7,914.52
  4. Step 4: Simplify right side
    17,768.44x = 210,991,447.49
  5. Step 5: Solve for x
    x = 210,991,447.49/17,768.44
  6. Step 6: Final answer
    x = 11,874.51

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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.