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Finding the Fourth Proportional to 20,817.16, 31,227.73 and 5,824.29

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Solution

The fourth proportional to 20,817.16, 31,227.73 and 5,824.29 is: 8,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,817.16 : 31,227.73 = 5,824.29 : x
  2. Step 2: Convert to fraction form
    20,817.16/31,227.73 = 5,824.29/x
  3. Step 3: Cross multiply
    20,817.16x = 31,227.73 × 5,824.29
  4. Step 4: Simplify right side
    20,817.16x = 181,879,432.62
  5. Step 5: Solve for x
    x = 181,879,432.62/20,817.16
  6. Step 6: Final answer
    x = 8,736.99

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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.