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Finding the Fourth Proportional to 16,289.37, 24,395.78 and 7,943.22

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Solution

The fourth proportional to 16,289.37, 24,395.78 and 7,943.22 is: 11,896.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.37 : 24,395.78 = 7,943.22 : x
  2. Step 2: Convert to fraction form
    16,289.37/24,395.78 = 7,943.22/x
  3. Step 3: Cross multiply
    16,289.37x = 24,395.78 × 7,943.22
  4. Step 4: Simplify right side
    16,289.37x = 193,781,067.47
  5. Step 5: Solve for x
    x = 193,781,067.47/16,289.37
  6. Step 6: Final answer
    x = 11,896.17

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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.