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Finding the Fourth Proportional to 12,382.97, 18,577.16 and 3,618.56

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Solution

The fourth proportional to 12,382.97, 18,577.16 and 3,618.56 is: 5,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.97 : 18,577.16 = 3,618.56 : x
  2. Step 2: Convert to fraction form
    12,382.97/18,577.16 = 3,618.56/x
  3. Step 3: Cross multiply
    12,382.97x = 18,577.16 × 3,618.56
  4. Step 4: Simplify right side
    12,382.97x = 67,222,623.58
  5. Step 5: Solve for x
    x = 67,222,623.58/12,382.97
  6. Step 6: Final answer
    x = 5,428.64

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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.