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Finding the Fourth Proportional to 13,724.54, 18,941.54 and 8,949.59

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Solution

The fourth proportional to 13,724.54, 18,941.54 and 8,949.59 is: 12,351.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724.54 : 18,941.54 = 8,949.59 : x
  2. Step 2: Convert to fraction form
    13,724.54/18,941.54 = 8,949.59/x
  3. Step 3: Cross multiply
    13,724.54x = 18,941.54 × 8,949.59
  4. Step 4: Simplify right side
    13,724.54x = 169,519,016.97
  5. Step 5: Solve for x
    x = 169,519,016.97/13,724.54
  6. Step 6: Final answer
    x = 12,351.53

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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.