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Finding the Fourth Proportional to 20,583.50, 30,882.63 and 8,096.60

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Solution

The fourth proportional to 20,583.50, 30,882.63 and 8,096.60 is: 12,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,583.50 : 30,882.63 = 8,096.60 : x
  2. Step 2: Convert to fraction form
    20,583.50/30,882.63 = 8,096.60/x
  3. Step 3: Cross multiply
    20,583.50x = 30,882.63 × 8,096.60
  4. Step 4: Simplify right side
    20,583.50x = 250,044,147.64
  5. Step 5: Solve for x
    x = 250,044,147.64/20,583.50
  6. Step 6: Final answer
    x = 12,147.80

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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.