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Finding the Fourth Proportional to 20,665.26, 30,997.62 and 5,083.02

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Solution

The fourth proportional to 20,665.26, 30,997.62 and 5,083.02 is: 7,624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.26 : 30,997.62 = 5,083.02 : x
  2. Step 2: Convert to fraction form
    20,665.26/30,997.62 = 5,083.02/x
  3. Step 3: Cross multiply
    20,665.26x = 30,997.62 × 5,083.02
  4. Step 4: Simplify right side
    20,665.26x = 157,561,522.41
  5. Step 5: Solve for x
    x = 157,561,522.41/20,665.26
  6. Step 6: Final answer
    x = 7,624.46

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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.