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Finding the Fourth Proportional to 12,857.42, 17,740.38 and 8,138.97

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Solution

The fourth proportional to 12,857.42, 17,740.38 and 8,138.97 is: 11,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.42 : 17,740.38 = 8,138.97 : x
  2. Step 2: Convert to fraction form
    12,857.42/17,740.38 = 8,138.97/x
  3. Step 3: Cross multiply
    12,857.42x = 17,740.38 × 8,138.97
  4. Step 4: Simplify right side
    12,857.42x = 144,388,420.61
  5. Step 5: Solve for x
    x = 144,388,420.61/12,857.42
  6. Step 6: Final answer
    x = 11,229.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.