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Finding the Fourth Proportional to 20,615.72, 30,898.26 and 8,123.22

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Solution

The fourth proportional to 20,615.72, 30,898.26 and 8,123.22 is: 12,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,615.72 : 30,898.26 = 8,123.22 : x
  2. Step 2: Convert to fraction form
    20,615.72/30,898.26 = 8,123.22/x
  3. Step 3: Cross multiply
    20,615.72x = 30,898.26 × 8,123.22
  4. Step 4: Simplify right side
    20,615.72x = 250,993,363.60
  5. Step 5: Solve for x
    x = 250,993,363.60/20,615.72
  6. Step 6: Final answer
    x = 12,174.86

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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.