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Finding the Fourth Proportional to 17,149.77, 23,670.36 and 11,170.77

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Solution

The fourth proportional to 17,149.77, 23,670.36 and 11,170.77 is: 15,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,149.77 : 23,670.36 = 11,170.77 : x
  2. Step 2: Convert to fraction form
    17,149.77/23,670.36 = 11,170.77/x
  3. Step 3: Cross multiply
    17,149.77x = 23,670.36 × 11,170.77
  4. Step 4: Simplify right side
    17,149.77x = 264,416,147.38
  5. Step 5: Solve for x
    x = 264,416,147.38/17,149.77
  6. Step 6: Final answer
    x = 15,418.06

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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.