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Finding the Fourth Proportional to 17,044.38, 23,524.74 and 9,972.54

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Solution

The fourth proportional to 17,044.38, 23,524.74 and 9,972.54 is: 13,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,044.38 : 23,524.74 = 9,972.54 : x
  2. Step 2: Convert to fraction form
    17,044.38/23,524.74 = 9,972.54/x
  3. Step 3: Cross multiply
    17,044.38x = 23,524.74 × 9,972.54
  4. Step 4: Simplify right side
    17,044.38x = 234,601,410.64
  5. Step 5: Solve for x
    x = 234,601,410.64/17,044.38
  6. Step 6: Final answer
    x = 13,764.15

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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.