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Finding the Fourth Proportional to 21,203.69, 31,805.52 and 7,163.75

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Solution

The fourth proportional to 21,203.69, 31,805.52 and 7,163.75 is: 10,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,203.69 : 31,805.52 = 7,163.75 : x
  2. Step 2: Convert to fraction form
    21,203.69/31,805.52 = 7,163.75/x
  3. Step 3: Cross multiply
    21,203.69x = 31,805.52 × 7,163.75
  4. Step 4: Simplify right side
    21,203.69x = 227,846,634.87
  5. Step 5: Solve for x
    x = 227,846,634.87/21,203.69
  6. Step 6: Final answer
    x = 10,745.61

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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.