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Finding the Fourth Proportional to 21,824.88, 32,737.32 and 7,989.36

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Solution

The fourth proportional to 21,824.88, 32,737.32 and 7,989.36 is: 11,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.88 : 32,737.32 = 7,989.36 : x
  2. Step 2: Convert to fraction form
    21,824.88/32,737.32 = 7,989.36/x
  3. Step 3: Cross multiply
    21,824.88x = 32,737.32 × 7,989.36
  4. Step 4: Simplify right side
    21,824.88x = 261,550,234.92
  5. Step 5: Solve for x
    x = 261,550,234.92/21,824.88
  6. Step 6: Final answer
    x = 11,984.04

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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.