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Finding the Fourth Proportional to 21,997.26, 32,998.86 and 6,414.75

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Solution

The fourth proportional to 21,997.26, 32,998.86 and 6,414.75 is: 9,622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,997.26 : 32,998.86 = 6,414.75 : x
  2. Step 2: Convert to fraction form
    21,997.26/32,998.86 = 6,414.75/x
  3. Step 3: Cross multiply
    21,997.26x = 32,998.86 × 6,414.75
  4. Step 4: Simplify right side
    21,997.26x = 211,679,437.19
  5. Step 5: Solve for x
    x = 211,679,437.19/21,997.26
  6. Step 6: Final answer
    x = 9,622.99

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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.