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Finding the Fourth Proportional to 21,571.92, 32,356.80 and 5,989.68

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Solution

The fourth proportional to 21,571.92, 32,356.80 and 5,989.68 is: 8,984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.92 : 32,356.80 = 5,989.68 : x
  2. Step 2: Convert to fraction form
    21,571.92/32,356.80 = 5,989.68/x
  3. Step 3: Cross multiply
    21,571.92x = 32,356.80 × 5,989.68
  4. Step 4: Simplify right side
    21,571.92x = 193,806,877.82
  5. Step 5: Solve for x
    x = 193,806,877.82/21,571.92
  6. Step 6: Final answer
    x = 8,984.22

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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.