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Finding the Fourth Proportional to 17,175.64, 25,721.22 and 8,382.20

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Solution

The fourth proportional to 17,175.64, 25,721.22 and 8,382.20 is: 12,552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,175.64 : 25,721.22 = 8,382.20 : x
  2. Step 2: Convert to fraction form
    17,175.64/25,721.22 = 8,382.20/x
  3. Step 3: Cross multiply
    17,175.64x = 25,721.22 × 8,382.20
  4. Step 4: Simplify right side
    17,175.64x = 215,600,410.28
  5. Step 5: Solve for x
    x = 215,600,410.28/17,175.64
  6. Step 6: Final answer
    x = 12,552.69

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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.