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Finding the Fourth Proportional to 21,996.36, 32,996.16 and 6,414.39

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Solution

The fourth proportional to 21,996.36, 32,996.16 and 6,414.39 is: 9,622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,996.36 : 32,996.16 = 6,414.39 : x
  2. Step 2: Convert to fraction form
    21,996.36/32,996.16 = 6,414.39/x
  3. Step 3: Cross multiply
    21,996.36x = 32,996.16 × 6,414.39
  4. Step 4: Simplify right side
    21,996.36x = 211,650,238.74
  5. Step 5: Solve for x
    x = 211,650,238.74/21,996.36
  6. Step 6: Final answer
    x = 9,622.06

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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.