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Finding the Fourth Proportional to 14,716.37, 22,067.64 and 5,349.78

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Solution

The fourth proportional to 14,716.37, 22,067.64 and 5,349.78 is: 8,022.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.37 : 22,067.64 = 5,349.78 : x
  2. Step 2: Convert to fraction form
    14,716.37/22,067.64 = 5,349.78/x
  3. Step 3: Cross multiply
    14,716.37x = 22,067.64 × 5,349.78
  4. Step 4: Simplify right side
    14,716.37x = 118,057,019.12
  5. Step 5: Solve for x
    x = 118,057,019.12/14,716.37
  6. Step 6: Final answer
    x = 8,022.15

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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.