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Finding the Fourth Proportional to 13,382.50, 18,467.61 and 7,414.04

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Solution

The fourth proportional to 13,382.50, 18,467.61 and 7,414.04 is: 10,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.50 : 18,467.61 = 7,414.04 : x
  2. Step 2: Convert to fraction form
    13,382.50/18,467.61 = 7,414.04/x
  3. Step 3: Cross multiply
    13,382.50x = 18,467.61 × 7,414.04
  4. Step 4: Simplify right side
    13,382.50x = 136,919,599.24
  5. Step 5: Solve for x
    x = 136,919,599.24/13,382.50
  6. Step 6: Final answer
    x = 10,231.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.