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Finding the Fourth Proportional to 21,228.24, 31,842.24 and 5,433.24

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Solution

The fourth proportional to 21,228.24, 31,842.24 and 5,433.24 is: 8,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,228.24 : 31,842.24 = 5,433.24 : x
  2. Step 2: Convert to fraction form
    21,228.24/31,842.24 = 5,433.24/x
  3. Step 3: Cross multiply
    21,228.24x = 31,842.24 × 5,433.24
  4. Step 4: Simplify right side
    21,228.24x = 173,006,532.06
  5. Step 5: Solve for x
    x = 173,006,532.06/21,228.24
  6. Step 6: Final answer
    x = 8,149.83

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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.