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Finding the Fourth Proportional to 17,231.40, 25,847.10 and 12,857.40

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Solution

The fourth proportional to 17,231.40, 25,847.10 and 12,857.40 is: 19,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,231.40 : 25,847.10 = 12,857.40 : x
  2. Step 2: Convert to fraction form
    17,231.40/25,847.10 = 12,857.40/x
  3. Step 3: Cross multiply
    17,231.40x = 25,847.10 × 12,857.40
  4. Step 4: Simplify right side
    17,231.40x = 332,326,503.54
  5. Step 5: Solve for x
    x = 332,326,503.54/17,231.40
  6. Step 6: Final answer
    x = 19,286.10

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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.