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Finding the Fourth Proportional to 17,107.68, 25,663.14 and 6,717

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Solution

The fourth proportional to 17,107.68, 25,663.14 and 6,717 is: 10,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,107.68 : 25,663.14 = 6,717 : x
  2. Step 2: Convert to fraction form
    17,107.68/25,663.14 = 6,717/x
  3. Step 3: Cross multiply
    17,107.68x = 25,663.14 × 6,717
  4. Step 4: Simplify right side
    17,107.68x = 172,379,311.38
  5. Step 5: Solve for x
    x = 172,379,311.38/17,107.68
  6. Step 6: Final answer
    x = 10,076.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.