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Finding the Fourth Proportional to 21,174.88, 31,755.33 and 7,131.42

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Solution

The fourth proportional to 21,174.88, 31,755.33 and 7,131.42 is: 10,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.88 : 31,755.33 = 7,131.42 : x
  2. Step 2: Convert to fraction form
    21,174.88/31,755.33 = 7,131.42/x
  3. Step 3: Cross multiply
    21,174.88x = 31,755.33 × 7,131.42
  4. Step 4: Simplify right side
    21,174.88x = 226,460,595.47
  5. Step 5: Solve for x
    x = 226,460,595.47/21,174.88
  6. Step 6: Final answer
    x = 10,694.78

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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.