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Finding the Fourth Proportional to 17,771.49, 26,601.33 and 12,192.21

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Solution

The fourth proportional to 17,771.49, 26,601.33 and 12,192.21 is: 18,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.49 : 26,601.33 = 12,192.21 : x
  2. Step 2: Convert to fraction form
    17,771.49/26,601.33 = 12,192.21/x
  3. Step 3: Cross multiply
    17,771.49x = 26,601.33 × 12,192.21
  4. Step 4: Simplify right side
    17,771.49x = 324,329,001.64
  5. Step 5: Solve for x
    x = 324,329,001.64/17,771.49
  6. Step 6: Final answer
    x = 18,249.96

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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.