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Finding the Fourth Proportional to 21,162.56, 31,745.97 and 7,839.14

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Solution

The fourth proportional to 21,162.56, 31,745.97 and 7,839.14 is: 11,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162.56 : 31,745.97 = 7,839.14 : x
  2. Step 2: Convert to fraction form
    21,162.56/31,745.97 = 7,839.14/x
  3. Step 3: Cross multiply
    21,162.56x = 31,745.97 × 7,839.14
  4. Step 4: Simplify right side
    21,162.56x = 248,861,064.07
  5. Step 5: Solve for x
    x = 248,861,064.07/21,162.56
  6. Step 6: Final answer
    x = 11,759.50

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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.