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Finding the Fourth Proportional to 12,382.74, 18,571.96 and 5,718.68

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Solution

The fourth proportional to 12,382.74, 18,571.96 and 5,718.68 is: 8,577.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.74 : 18,571.96 = 5,718.68 : x
  2. Step 2: Convert to fraction form
    12,382.74/18,571.96 = 5,718.68/x
  3. Step 3: Cross multiply
    12,382.74x = 18,571.96 × 5,718.68
  4. Step 4: Simplify right side
    12,382.74x = 106,207,096.21
  5. Step 5: Solve for x
    x = 106,207,096.21/12,382.74
  6. Step 6: Final answer
    x = 8,577.03

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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.