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Finding the Fourth Proportional to 22,006.44, 32,997.24 and 7,214.04

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Solution

The fourth proportional to 22,006.44, 32,997.24 and 7,214.04 is: 10,816.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006.44 : 32,997.24 = 7,214.04 : x
  2. Step 2: Convert to fraction form
    22,006.44/32,997.24 = 7,214.04/x
  3. Step 3: Cross multiply
    22,006.44x = 32,997.24 × 7,214.04
  4. Step 4: Simplify right side
    22,006.44x = 238,043,409.25
  5. Step 5: Solve for x
    x = 238,043,409.25/22,006.44
  6. Step 6: Final answer
    x = 10,816.99

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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.