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Finding the Fourth Proportional to 21,568.66, 32,354.39 and 6,778.20

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Solution

The fourth proportional to 21,568.66, 32,354.39 and 6,778.20 is: 10,167.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568.66 : 32,354.39 = 6,778.20 : x
  2. Step 2: Convert to fraction form
    21,568.66/32,354.39 = 6,778.20/x
  3. Step 3: Cross multiply
    21,568.66x = 32,354.39 × 6,778.20
  4. Step 4: Simplify right side
    21,568.66x = 219,304,330.64
  5. Step 5: Solve for x
    x = 219,304,330.64/21,568.66
  6. Step 6: Final answer
    x = 10,167.73

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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.