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Finding the Fourth Proportional to 17,771.13, 26,633.57 and 7,228.87

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Solution

The fourth proportional to 17,771.13, 26,633.57 and 7,228.87 is: 10,833.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.13 : 26,633.57 = 7,228.87 : x
  2. Step 2: Convert to fraction form
    17,771.13/26,633.57 = 7,228.87/x
  3. Step 3: Cross multiply
    17,771.13x = 26,633.57 × 7,228.87
  4. Step 4: Simplify right side
    17,771.13x = 192,530,512.44
  5. Step 5: Solve for x
    x = 192,530,512.44/17,771.13
  6. Step 6: Final answer
    x = 10,833.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.