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Finding the Fourth Proportional to 20,267.31, 27,960.94 and 11,767.98

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Solution

The fourth proportional to 20,267.31, 27,960.94 and 11,767.98 is: 16,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,267.31 : 27,960.94 = 11,767.98 : x
  2. Step 2: Convert to fraction form
    20,267.31/27,960.94 = 11,767.98/x
  3. Step 3: Cross multiply
    20,267.31x = 27,960.94 × 11,767.98
  4. Step 4: Simplify right side
    20,267.31x = 329,043,613.48
  5. Step 5: Solve for x
    x = 329,043,613.48/20,267.31
  6. Step 6: Final answer
    x = 16,235.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.