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Finding the Fourth Proportional to 12,185.68, 18,279.24 and 3,865.54

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Solution

The fourth proportional to 12,185.68, 18,279.24 and 3,865.54 is: 5,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.68 : 18,279.24 = 3,865.54 : x
  2. Step 2: Convert to fraction form
    12,185.68/18,279.24 = 3,865.54/x
  3. Step 3: Cross multiply
    12,185.68x = 18,279.24 × 3,865.54
  4. Step 4: Simplify right side
    12,185.68x = 70,659,133.39
  5. Step 5: Solve for x
    x = 70,659,133.39/12,185.68
  6. Step 6: Final answer
    x = 5,798.54

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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.