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Finding the Fourth Proportional to 13,638.98, 18,817.91 and 8,185.83

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Solution

The fourth proportional to 13,638.98, 18,817.91 and 8,185.83 is: 11,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.98 : 18,817.91 = 8,185.83 : x
  2. Step 2: Convert to fraction form
    13,638.98/18,817.91 = 8,185.83/x
  3. Step 3: Cross multiply
    13,638.98x = 18,817.91 × 8,185.83
  4. Step 4: Simplify right side
    13,638.98x = 154,040,171.29
  5. Step 5: Solve for x
    x = 154,040,171.29/13,638.98
  6. Step 6: Final answer
    x = 11,294.11

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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.