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Finding the Fourth Proportional to 17,107.72, 25,702.68 and 16,163.62

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Solution

The fourth proportional to 17,107.72, 25,702.68 and 16,163.62 is: 24,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,107.72 : 25,702.68 = 16,163.62 : x
  2. Step 2: Convert to fraction form
    17,107.72/25,702.68 = 16,163.62/x
  3. Step 3: Cross multiply
    17,107.72x = 25,702.68 × 16,163.62
  4. Step 4: Simplify right side
    17,107.72x = 415,448,352.50
  5. Step 5: Solve for x
    x = 415,448,352.50/17,107.72
  6. Step 6: Final answer
    x = 24,284.26

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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.