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Finding the Fourth Proportional to 13,677.80, 18,874.82 and 7,709.31

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Solution

The fourth proportional to 13,677.80, 18,874.82 and 7,709.31 is: 10,638.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.80 : 18,874.82 = 7,709.31 : x
  2. Step 2: Convert to fraction form
    13,677.80/18,874.82 = 7,709.31/x
  3. Step 3: Cross multiply
    13,677.80x = 18,874.82 × 7,709.31
  4. Step 4: Simplify right side
    13,677.80x = 145,511,857.85
  5. Step 5: Solve for x
    x = 145,511,857.85/13,677.80
  6. Step 6: Final answer
    x = 10,638.55

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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.