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Finding the Fourth Proportional to 21,174.31, 31,765.51 and 10,086.22

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Solution

The fourth proportional to 21,174.31, 31,765.51 and 10,086.22 is: 15,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.31 : 31,765.51 = 10,086.22 : x
  2. Step 2: Convert to fraction form
    21,174.31/31,765.51 = 10,086.22/x
  3. Step 3: Cross multiply
    21,174.31x = 31,765.51 × 10,086.22
  4. Step 4: Simplify right side
    21,174.31x = 320,393,763.44
  5. Step 5: Solve for x
    x = 320,393,763.44/21,174.31
  6. Step 6: Final answer
    x = 15,131.25

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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.