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Finding the Fourth Proportional to 20,791.11, 31,186.82 and 8,312.19

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Solution

The fourth proportional to 20,791.11, 31,186.82 and 8,312.19 is: 12,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791.11 : 31,186.82 = 8,312.19 : x
  2. Step 2: Convert to fraction form
    20,791.11/31,186.82 = 8,312.19/x
  3. Step 3: Cross multiply
    20,791.11x = 31,186.82 × 8,312.19
  4. Step 4: Simplify right side
    20,791.11x = 259,230,731.77
  5. Step 5: Solve for x
    x = 259,230,731.77/20,791.11
  6. Step 6: Final answer
    x = 12,468.34

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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.