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Finding the Fourth Proportional to 17,175.17, 23,524.16 and 16,166.45

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Solution

The fourth proportional to 17,175.17, 23,524.16 and 16,166.45 is: 22,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,175.17 : 23,524.16 = 16,166.45 : x
  2. Step 2: Convert to fraction form
    17,175.17/23,524.16 = 16,166.45/x
  3. Step 3: Cross multiply
    17,175.17x = 23,524.16 × 16,166.45
  4. Step 4: Simplify right side
    17,175.17x = 380,302,134.41
  5. Step 5: Solve for x
    x = 380,302,134.41/17,175.17
  6. Step 6: Final answer
    x = 22,142.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.