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Finding the Fourth Proportional to 17,146.38, 23,655.06 and 11,175.96

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Solution

The fourth proportional to 17,146.38, 23,655.06 and 11,175.96 is: 15,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,146.38 : 23,655.06 = 11,175.96 : x
  2. Step 2: Convert to fraction form
    17,146.38/23,655.06 = 11,175.96/x
  3. Step 3: Cross multiply
    17,146.38x = 23,655.06 × 11,175.96
  4. Step 4: Simplify right side
    17,146.38x = 264,368,004.36
  5. Step 5: Solve for x
    x = 264,368,004.36/17,146.38
  6. Step 6: Final answer
    x = 15,418.30

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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.