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Finding the Fourth Proportional to 13,884.45, 20,846.21 and 8,047.59

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Solution

The fourth proportional to 13,884.45, 20,846.21 and 8,047.59 is: 12,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.45 : 20,846.21 = 8,047.59 : x
  2. Step 2: Convert to fraction form
    13,884.45/20,846.21 = 8,047.59/x
  3. Step 3: Cross multiply
    13,884.45x = 20,846.21 × 8,047.59
  4. Step 4: Simplify right side
    13,884.45x = 167,761,751.13
  5. Step 5: Solve for x
    x = 167,761,751.13/13,884.45
  6. Step 6: Final answer
    x = 12,082.71

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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.