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Finding the Fourth Proportional to 17,361.98, 23,967.82 and 10,991.66

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Solution

The fourth proportional to 17,361.98, 23,967.82 and 10,991.66 is: 15,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,361.98 : 23,967.82 = 10,991.66 : x
  2. Step 2: Convert to fraction form
    17,361.98/23,967.82 = 10,991.66/x
  3. Step 3: Cross multiply
    17,361.98x = 23,967.82 × 10,991.66
  4. Step 4: Simplify right side
    17,361.98x = 263,446,128.38
  5. Step 5: Solve for x
    x = 263,446,128.38/17,361.98
  6. Step 6: Final answer
    x = 15,173.74

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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.