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Finding the Fourth Proportional to 21,568.96, 32,351.90 and 6,782.11

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Solution

The fourth proportional to 21,568.96, 32,351.90 and 6,782.11 is: 10,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568.96 : 32,351.90 = 6,782.11 : x
  2. Step 2: Convert to fraction form
    21,568.96/32,351.90 = 6,782.11/x
  3. Step 3: Cross multiply
    21,568.96x = 32,351.90 × 6,782.11
  4. Step 4: Simplify right side
    21,568.96x = 219,414,103.09
  5. Step 5: Solve for x
    x = 219,414,103.09/21,568.96
  6. Step 6: Final answer
    x = 10,172.68

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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.