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Finding the Fourth Proportional to 20,791.51, 31,190.34 and 7,642.86

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Solution

The fourth proportional to 20,791.51, 31,190.34 and 7,642.86 is: 11,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791.51 : 31,190.34 = 7,642.86 : x
  2. Step 2: Convert to fraction form
    20,791.51/31,190.34 = 7,642.86/x
  3. Step 3: Cross multiply
    20,791.51x = 31,190.34 × 7,642.86
  4. Step 4: Simplify right side
    20,791.51x = 238,383,401.97
  5. Step 5: Solve for x
    x = 238,383,401.97/20,791.51
  6. Step 6: Final answer
    x = 11,465.42

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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.