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Finding the Fourth Proportional to 17,233.38, 23,791.10 and 11,597.76

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Solution

The fourth proportional to 17,233.38, 23,791.10 and 11,597.76 is: 16,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,233.38 : 23,791.10 = 11,597.76 : x
  2. Step 2: Convert to fraction form
    17,233.38/23,791.10 = 11,597.76/x
  3. Step 3: Cross multiply
    17,233.38x = 23,791.10 × 11,597.76
  4. Step 4: Simplify right side
    17,233.38x = 275,923,409.95
  5. Step 5: Solve for x
    x = 275,923,409.95/17,233.38
  6. Step 6: Final answer
    x = 16,010.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.