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Finding the Fourth Proportional to 12,185.94, 18,279.56 and 3,866.62

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Solution

The fourth proportional to 12,185.94, 18,279.56 and 3,866.62 is: 5,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.94 : 18,279.56 = 3,866.62 : x
  2. Step 2: Convert to fraction form
    12,185.94/18,279.56 = 3,866.62/x
  3. Step 3: Cross multiply
    12,185.94x = 18,279.56 × 3,866.62
  4. Step 4: Simplify right side
    12,185.94x = 70,680,001.56
  5. Step 5: Solve for x
    x = 70,680,001.56/12,185.94
  6. Step 6: Final answer
    x = 5,800.13

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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.