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Finding the Fourth Proportional to 17,058, 23,541 and 9,606.48

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Solution

The fourth proportional to 17,058, 23,541 and 9,606.48 is: 13,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,058 : 23,541 = 9,606.48 : x
  2. Step 2: Convert to fraction form
    17,058/23,541 = 9,606.48/x
  3. Step 3: Cross multiply
    17,058x = 23,541 × 9,606.48
  4. Step 4: Simplify right side
    17,058x = 226,146,145.68
  5. Step 5: Solve for x
    x = 226,146,145.68/17,058
  6. Step 6: Final answer
    x = 13,257.48

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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.