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Finding the Fourth Proportional to 14,711.68, 22,067.52 and 5,944.96

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Solution

The fourth proportional to 14,711.68, 22,067.52 and 5,944.96 is: 8,917.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.68 : 22,067.52 = 5,944.96 : x
  2. Step 2: Convert to fraction form
    14,711.68/22,067.52 = 5,944.96/x
  3. Step 3: Cross multiply
    14,711.68x = 22,067.52 × 5,944.96
  4. Step 4: Simplify right side
    14,711.68x = 131,190,523.70
  5. Step 5: Solve for x
    x = 131,190,523.70/14,711.68
  6. Step 6: Final answer
    x = 8,917.44

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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.