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Finding the Fourth Proportional to 21,361.37, 32,043.63 and 8,213.75

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Solution

The fourth proportional to 21,361.37, 32,043.63 and 8,213.75 is: 12,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,361.37 : 32,043.63 = 8,213.75 : x
  2. Step 2: Convert to fraction form
    21,361.37/32,043.63 = 8,213.75/x
  3. Step 3: Cross multiply
    21,361.37x = 32,043.63 × 8,213.75
  4. Step 4: Simplify right side
    21,361.37x = 263,198,467.60
  5. Step 5: Solve for x
    x = 263,198,467.60/21,361.37
  6. Step 6: Final answer
    x = 12,321.24

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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.