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Finding the Fourth Proportional to 17,058, 23,540.22 and 9,606

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Solution

The fourth proportional to 17,058, 23,540.22 and 9,606 is: 13,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,058 : 23,540.22 = 9,606 : x
  2. Step 2: Convert to fraction form
    17,058/23,540.22 = 9,606/x
  3. Step 3: Cross multiply
    17,058x = 23,540.22 × 9,606
  4. Step 4: Simplify right side
    17,058x = 226,127,353.32
  5. Step 5: Solve for x
    x = 226,127,353.32/17,058
  6. Step 6: Final answer
    x = 13,256.38

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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.