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Finding the Fourth Proportional to 17,505, 26,257.50 and 17,064.36

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Solution

The fourth proportional to 17,505, 26,257.50 and 17,064.36 is: 25,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,505 : 26,257.50 = 17,064.36 : x
  2. Step 2: Convert to fraction form
    17,505/26,257.50 = 17,064.36/x
  3. Step 3: Cross multiply
    17,505x = 26,257.50 × 17,064.36
  4. Step 4: Simplify right side
    17,505x = 448,067,432.70
  5. Step 5: Solve for x
    x = 448,067,432.70/17,505
  6. Step 6: Final answer
    x = 25,596.54

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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.