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Finding the Fourth Proportional to 14,543.69, 20,057.96 and 12,286.11

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Solution

The fourth proportional to 14,543.69, 20,057.96 and 12,286.11 is: 16,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.69 : 20,057.96 = 12,286.11 : x
  2. Step 2: Convert to fraction form
    14,543.69/20,057.96 = 12,286.11/x
  3. Step 3: Cross multiply
    14,543.69x = 20,057.96 × 12,286.11
  4. Step 4: Simplify right side
    14,543.69x = 246,434,408.87
  5. Step 5: Solve for x
    x = 246,434,408.87/14,543.69
  6. Step 6: Final answer
    x = 16,944.43

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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.