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Finding the Fourth Proportional to 17,530.62, 26,305.50 and 10,149.50

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Solution

The fourth proportional to 17,530.62, 26,305.50 and 10,149.50 is: 15,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530.62 : 26,305.50 = 10,149.50 : x
  2. Step 2: Convert to fraction form
    17,530.62/26,305.50 = 10,149.50/x
  3. Step 3: Cross multiply
    17,530.62x = 26,305.50 × 10,149.50
  4. Step 4: Simplify right side
    17,530.62x = 266,987,540.72
  5. Step 5: Solve for x
    x = 266,987,540.72/17,530.62
  6. Step 6: Final answer
    x = 15,229.78

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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.