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Finding the Fourth Proportional to 21,571.50, 32,357.25 and 5,989.14

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Solution

The fourth proportional to 21,571.50, 32,357.25 and 5,989.14 is: 8,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.50 : 32,357.25 = 5,989.14 : x
  2. Step 2: Convert to fraction form
    21,571.50/32,357.25 = 5,989.14/x
  3. Step 3: Cross multiply
    21,571.50x = 32,357.25 × 5,989.14
  4. Step 4: Simplify right side
    21,571.50x = 193,792,100.27
  5. Step 5: Solve for x
    x = 193,792,100.27/21,571.50
  6. Step 6: Final answer
    x = 8,983.71

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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.