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Finding the Fourth Proportional to 17,144.42, 25,719.83 and 7,785.09

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Solution

The fourth proportional to 17,144.42, 25,719.83 and 7,785.09 is: 11,679.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,144.42 : 25,719.83 = 7,785.09 : x
  2. Step 2: Convert to fraction form
    17,144.42/25,719.83 = 7,785.09/x
  3. Step 3: Cross multiply
    17,144.42x = 25,719.83 × 7,785.09
  4. Step 4: Simplify right side
    17,144.42x = 200,231,152.41
  5. Step 5: Solve for x
    x = 200,231,152.41/17,144.42
  6. Step 6: Final answer
    x = 11,679.09

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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.