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Finding the Fourth Proportional to 17,035.38, 23,512.32 and 9,963.54

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Solution

The fourth proportional to 17,035.38, 23,512.32 and 9,963.54 is: 13,751.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,035.38 : 23,512.32 = 9,963.54 : x
  2. Step 2: Convert to fraction form
    17,035.38/23,512.32 = 9,963.54/x
  3. Step 3: Cross multiply
    17,035.38x = 23,512.32 × 9,963.54
  4. Step 4: Simplify right side
    17,035.38x = 234,265,940.81
  5. Step 5: Solve for x
    x = 234,265,940.81/17,035.38
  6. Step 6: Final answer
    x = 13,751.73

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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.