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Finding the Fourth Proportional to 20,850.54, 31,249.62 and 14,896.44

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Solution

The fourth proportional to 20,850.54, 31,249.62 and 14,896.44 is: 22,325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850.54 : 31,249.62 = 14,896.44 : x
  2. Step 2: Convert to fraction form
    20,850.54/31,249.62 = 14,896.44/x
  3. Step 3: Cross multiply
    20,850.54x = 31,249.62 × 14,896.44
  4. Step 4: Simplify right side
    20,850.54x = 465,508,089.35
  5. Step 5: Solve for x
    x = 465,508,089.35/20,850.54
  6. Step 6: Final answer
    x = 22,325.95

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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.