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Finding the Fourth Proportional to 13,243.54, 19,865.30 and 3,382.82

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Solution

The fourth proportional to 13,243.54, 19,865.30 and 3,382.82 is: 5,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.54 : 19,865.30 = 3,382.82 : x
  2. Step 2: Convert to fraction form
    13,243.54/19,865.30 = 3,382.82/x
  3. Step 3: Cross multiply
    13,243.54x = 19,865.30 × 3,382.82
  4. Step 4: Simplify right side
    13,243.54x = 67,200,734.15
  5. Step 5: Solve for x
    x = 67,200,734.15/13,243.54
  6. Step 6: Final answer
    x = 5,074.23

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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.