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Finding the Fourth Proportional to 17,505, 26,257.50 and 5,193

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Solution

The fourth proportional to 17,505, 26,257.50 and 5,193 is: 7,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,505 : 26,257.50 = 5,193 : x
  2. Step 2: Convert to fraction form
    17,505/26,257.50 = 5,193/x
  3. Step 3: Cross multiply
    17,505x = 26,257.50 × 5,193
  4. Step 4: Simplify right side
    17,505x = 136,355,197.50
  5. Step 5: Solve for x
    x = 136,355,197.50/17,505
  6. Step 6: Final answer
    x = 7,789.50

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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.