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Finding the Fourth Proportional to 17,058, 23,540.04 and 10,775.64

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Solution

The fourth proportional to 17,058, 23,540.04 and 10,775.64 is: 14,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,058 : 23,540.04 = 10,775.64 : x
  2. Step 2: Convert to fraction form
    17,058/23,540.04 = 10,775.64/x
  3. Step 3: Cross multiply
    17,058x = 23,540.04 × 10,775.64
  4. Step 4: Simplify right side
    17,058x = 253,658,996.63
  5. Step 5: Solve for x
    x = 253,658,996.63/17,058
  6. Step 6: Final answer
    x = 14,870.38

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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.