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Finding the Fourth Proportional to 20,791.70, 31,216.35 and 16,414.10

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Solution

The fourth proportional to 20,791.70, 31,216.35 and 16,414.10 is: 24,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791.70 : 31,216.35 = 16,414.10 : x
  2. Step 2: Convert to fraction form
    20,791.70/31,216.35 = 16,414.10/x
  3. Step 3: Cross multiply
    20,791.70x = 31,216.35 × 16,414.10
  4. Step 4: Simplify right side
    20,791.70x = 512,388,290.54
  5. Step 5: Solve for x
    x = 512,388,290.54/20,791.70
  6. Step 6: Final answer
    x = 24,643.89

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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.