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Finding the Fourth Proportional to 16,954, 23,397.96 and 9,503.44

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Solution

The fourth proportional to 16,954, 23,397.96 and 9,503.44 is: 13,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,954 : 23,397.96 = 9,503.44 : x
  2. Step 2: Convert to fraction form
    16,954/23,397.96 = 9,503.44/x
  3. Step 3: Cross multiply
    16,954x = 23,397.96 × 9,503.44
  4. Step 4: Simplify right side
    16,954x = 222,361,108.98
  5. Step 5: Solve for x
    x = 222,361,108.98/16,954
  6. Step 6: Final answer
    x = 13,115.55

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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.