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Finding the Fourth Proportional to 17,181.38, 25,785.27 and 7,696.62

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Solution

The fourth proportional to 17,181.38, 25,785.27 and 7,696.62 is: 11,550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,181.38 : 25,785.27 = 7,696.62 : x
  2. Step 2: Convert to fraction form
    17,181.38/25,785.27 = 7,696.62/x
  3. Step 3: Cross multiply
    17,181.38x = 25,785.27 × 7,696.62
  4. Step 4: Simplify right side
    17,181.38x = 198,459,424.79
  5. Step 5: Solve for x
    x = 198,459,424.79/17,181.38
  6. Step 6: Final answer
    x = 11,550.84

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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.