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Finding the Fourth Proportional to 21,382.88, 32,057.01 and 8,912.30

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Solution

The fourth proportional to 21,382.88, 32,057.01 and 8,912.30 is: 13,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.88 : 32,057.01 = 8,912.30 : x
  2. Step 2: Convert to fraction form
    21,382.88/32,057.01 = 8,912.30/x
  3. Step 3: Cross multiply
    21,382.88x = 32,057.01 × 8,912.30
  4. Step 4: Simplify right side
    21,382.88x = 285,701,529.94
  5. Step 5: Solve for x
    x = 285,701,529.94/21,382.88
  6. Step 6: Final answer
    x = 13,361.23

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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.