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Finding the Fourth Proportional to 21,163.24, 31,737.66 and 7,309

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Solution

The fourth proportional to 21,163.24, 31,737.66 and 7,309 is: 10,961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,163.24 : 31,737.66 = 7,309 : x
  2. Step 2: Convert to fraction form
    21,163.24/31,737.66 = 7,309/x
  3. Step 3: Cross multiply
    21,163.24x = 31,737.66 × 7,309
  4. Step 4: Simplify right side
    21,163.24x = 231,970,556.94
  5. Step 5: Solve for x
    x = 231,970,556.94/21,163.24
  6. Step 6: Final answer
    x = 10,961.01

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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.