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Finding the Fourth Proportional to 13,616.82, 20,396.54 and 6,227.50

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Solution

The fourth proportional to 13,616.82, 20,396.54 and 6,227.50 is: 9,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.82 : 20,396.54 = 6,227.50 : x
  2. Step 2: Convert to fraction form
    13,616.82/20,396.54 = 6,227.50/x
  3. Step 3: Cross multiply
    13,616.82x = 20,396.54 × 6,227.50
  4. Step 4: Simplify right side
    13,616.82x = 127,019,452.85
  5. Step 5: Solve for x
    x = 127,019,452.85/13,616.82
  6. Step 6: Final answer
    x = 9,328.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.