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Finding the Fourth Proportional to 13,382.97, 18,467.99 and 7,414.52

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Solution

The fourth proportional to 13,382.97, 18,467.99 and 7,414.52 is: 10,231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.97 : 18,467.99 = 7,414.52 : x
  2. Step 2: Convert to fraction form
    13,382.97/18,467.99 = 7,414.52/x
  3. Step 3: Cross multiply
    13,382.97x = 18,467.99 × 7,414.52
  4. Step 4: Simplify right side
    13,382.97x = 136,931,179.61
  5. Step 5: Solve for x
    x = 136,931,179.61/13,382.97
  6. Step 6: Final answer
    x = 10,231.75

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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.