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Finding the Fourth Proportional to 21,682.08, 32,519.34 and 6,096

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Solution

The fourth proportional to 21,682.08, 32,519.34 and 6,096 is: 9,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682.08 : 32,519.34 = 6,096 : x
  2. Step 2: Convert to fraction form
    21,682.08/32,519.34 = 6,096/x
  3. Step 3: Cross multiply
    21,682.08x = 32,519.34 × 6,096
  4. Step 4: Simplify right side
    21,682.08x = 198,237,896.64
  5. Step 5: Solve for x
    x = 198,237,896.64/21,682.08
  6. Step 6: Final answer
    x = 9,142.94

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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.