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Finding the Fourth Proportional to 13,616.21, 18,790.25 and 7,647.75

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Solution

The fourth proportional to 13,616.21, 18,790.25 and 7,647.75 is: 10,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.21 : 18,790.25 = 7,647.75 : x
  2. Step 2: Convert to fraction form
    13,616.21/18,790.25 = 7,647.75/x
  3. Step 3: Cross multiply
    13,616.21x = 18,790.25 × 7,647.75
  4. Step 4: Simplify right side
    13,616.21x = 143,703,134.44
  5. Step 5: Solve for x
    x = 143,703,134.44/13,616.21
  6. Step 6: Final answer
    x = 10,553.83

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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.