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Finding the Fourth Proportional to 20,791.36, 31,191.72 and 6,940

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Solution

The fourth proportional to 20,791.36, 31,191.72 and 6,940 is: 10,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791.36 : 31,191.72 = 6,940 : x
  2. Step 2: Convert to fraction form
    20,791.36/31,191.72 = 6,940/x
  3. Step 3: Cross multiply
    20,791.36x = 31,191.72 × 6,940
  4. Step 4: Simplify right side
    20,791.36x = 216,470,536.80
  5. Step 5: Solve for x
    x = 216,470,536.80/20,791.36
  6. Step 6: Final answer
    x = 10,411.56

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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.