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Finding the Fourth Proportional to 17,111.38, 23,614.49 and 9,455.73

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Solution

The fourth proportional to 17,111.38, 23,614.49 and 9,455.73 is: 13,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,111.38 : 23,614.49 = 9,455.73 : x
  2. Step 2: Convert to fraction form
    17,111.38/23,614.49 = 9,455.73/x
  3. Step 3: Cross multiply
    17,111.38x = 23,614.49 × 9,455.73
  4. Step 4: Simplify right side
    17,111.38x = 223,292,241.53
  5. Step 5: Solve for x
    x = 223,292,241.53/17,111.38
  6. Step 6: Final answer
    x = 13,049.34

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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.