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Finding the Fourth Proportional to 20,893.41, 31,330.89 and 9,791.13

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Solution

The fourth proportional to 20,893.41, 31,330.89 and 9,791.13 is: 14,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,893.41 : 31,330.89 = 9,791.13 : x
  2. Step 2: Convert to fraction form
    20,893.41/31,330.89 = 9,791.13/x
  3. Step 3: Cross multiply
    20,893.41x = 31,330.89 × 9,791.13
  4. Step 4: Simplify right side
    20,893.41x = 306,764,817.01
  5. Step 5: Solve for x
    x = 306,764,817.01/20,893.41
  6. Step 6: Final answer
    x = 14,682.37

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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.