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Finding the Fourth Proportional to 20,791.16, 31,168.24 and 7,640.45

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Solution

The fourth proportional to 20,791.16, 31,168.24 and 7,640.45 is: 11,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791.16 : 31,168.24 = 7,640.45 : x
  2. Step 2: Convert to fraction form
    20,791.16/31,168.24 = 7,640.45/x
  3. Step 3: Cross multiply
    20,791.16x = 31,168.24 × 7,640.45
  4. Step 4: Simplify right side
    20,791.16x = 238,139,451.88
  5. Step 5: Solve for x
    x = 238,139,451.88/20,791.16
  6. Step 6: Final answer
    x = 11,453.88

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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.