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Finding the Fourth Proportional to 17,205, 23,743.26 and 9,753

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Solution

The fourth proportional to 17,205, 23,743.26 and 9,753 is: 13,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205 : 23,743.26 = 9,753 : x
  2. Step 2: Convert to fraction form
    17,205/23,743.26 = 9,753/x
  3. Step 3: Cross multiply
    17,205x = 23,743.26 × 9,753
  4. Step 4: Simplify right side
    17,205x = 231,568,014.78
  5. Step 5: Solve for x
    x = 231,568,014.78/17,205
  6. Step 6: Final answer
    x = 13,459.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.