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Finding the Fourth Proportional to 20,147.50, 27,803.64 and 11,764

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Solution

The fourth proportional to 20,147.50, 27,803.64 and 11,764 is: 16,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.50 : 27,803.64 = 11,764 : x
  2. Step 2: Convert to fraction form
    20,147.50/27,803.64 = 11,764/x
  3. Step 3: Cross multiply
    20,147.50x = 27,803.64 × 11,764
  4. Step 4: Simplify right side
    20,147.50x = 327,082,020.96
  5. Step 5: Solve for x
    x = 327,082,020.96/20,147.50
  6. Step 6: Final answer
    x = 16,234.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.