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Finding the Fourth Proportional to 13,107.78, 18,086.67 and 8,072.82

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Solution

The fourth proportional to 13,107.78, 18,086.67 and 8,072.82 is: 11,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.78 : 18,086.67 = 8,072.82 : x
  2. Step 2: Convert to fraction form
    13,107.78/18,086.67 = 8,072.82/x
  3. Step 3: Cross multiply
    13,107.78x = 18,086.67 × 8,072.82
  4. Step 4: Simplify right side
    13,107.78x = 146,010,431.31
  5. Step 5: Solve for x
    x = 146,010,431.31/13,107.78
  6. Step 6: Final answer
    x = 11,139.22

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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.