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Finding the Fourth Proportional to 13,161, 19,744.62 and 3,927.24

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Solution

The fourth proportional to 13,161, 19,744.62 and 3,927.24 is: 5,891.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161 : 19,744.62 = 3,927.24 : x
  2. Step 2: Convert to fraction form
    13,161/19,744.62 = 3,927.24/x
  3. Step 3: Cross multiply
    13,161x = 19,744.62 × 3,927.24
  4. Step 4: Simplify right side
    13,161x = 77,541,861.45
  5. Step 5: Solve for x
    x = 77,541,861.45/13,161
  6. Step 6: Final answer
    x = 5,891.79

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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.