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Finding the Fourth Proportional to 21,874.38, 32,816.76 and 7,083.27

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Solution

The fourth proportional to 21,874.38, 32,816.76 and 7,083.27 is: 10,626.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.38 : 32,816.76 = 7,083.27 : x
  2. Step 2: Convert to fraction form
    21,874.38/32,816.76 = 7,083.27/x
  3. Step 3: Cross multiply
    21,874.38x = 32,816.76 × 7,083.27
  4. Step 4: Simplify right side
    21,874.38x = 232,450,057.26
  5. Step 5: Solve for x
    x = 232,450,057.26/21,874.38
  6. Step 6: Final answer
    x = 10,626.59

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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.