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Finding the Fourth Proportional to 17,175.66, 25,730.82 and 9,785.22

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Solution

The fourth proportional to 17,175.66, 25,730.82 and 9,785.22 is: 14,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,175.66 : 25,730.82 = 9,785.22 : x
  2. Step 2: Convert to fraction form
    17,175.66/25,730.82 = 9,785.22/x
  3. Step 3: Cross multiply
    17,175.66x = 25,730.82 × 9,785.22
  4. Step 4: Simplify right side
    17,175.66x = 251,781,734.48
  5. Step 5: Solve for x
    x = 251,781,734.48/17,175.66
  6. Step 6: Final answer
    x = 14,659.22

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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.