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Finding the Fourth Proportional to 21,224.28, 31,842.18 and 6,433.68

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Solution

The fourth proportional to 21,224.28, 31,842.18 and 6,433.68 is: 9,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.28 : 31,842.18 = 6,433.68 : x
  2. Step 2: Convert to fraction form
    21,224.28/31,842.18 = 6,433.68/x
  3. Step 3: Cross multiply
    21,224.28x = 31,842.18 × 6,433.68
  4. Step 4: Simplify right side
    21,224.28x = 204,862,396.62
  5. Step 5: Solve for x
    x = 204,862,396.62/21,224.28
  6. Step 6: Final answer
    x = 9,652.27

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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.