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Finding the Fourth Proportional to 20,791.26, 31,185.93 and 7,642.68

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Solution

The fourth proportional to 20,791.26, 31,185.93 and 7,642.68 is: 11,463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791.26 : 31,185.93 = 7,642.68 : x
  2. Step 2: Convert to fraction form
    20,791.26/31,185.93 = 7,642.68/x
  3. Step 3: Cross multiply
    20,791.26x = 31,185.93 × 7,642.68
  4. Step 4: Simplify right side
    20,791.26x = 238,344,083.49
  5. Step 5: Solve for x
    x = 238,344,083.49/20,791.26
  6. Step 6: Final answer
    x = 11,463.67

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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.