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Finding the Fourth Proportional to 21,814.73, 32,722.11 and 6,232.36

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Solution

The fourth proportional to 21,814.73, 32,722.11 and 6,232.36 is: 9,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,814.73 : 32,722.11 = 6,232.36 : x
  2. Step 2: Convert to fraction form
    21,814.73/32,722.11 = 6,232.36/x
  3. Step 3: Cross multiply
    21,814.73x = 32,722.11 × 6,232.36
  4. Step 4: Simplify right side
    21,814.73x = 203,935,949.03
  5. Step 5: Solve for x
    x = 203,935,949.03/21,814.73
  6. Step 6: Final answer
    x = 9,348.54

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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.