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Finding the Fourth Proportional to 17,324.87, 23,906.95 and 9,768.78

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Solution

The fourth proportional to 17,324.87, 23,906.95 and 9,768.78 is: 13,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,324.87 : 23,906.95 = 9,768.78 : x
  2. Step 2: Convert to fraction form
    17,324.87/23,906.95 = 9,768.78/x
  3. Step 3: Cross multiply
    17,324.87x = 23,906.95 × 9,768.78
  4. Step 4: Simplify right side
    17,324.87x = 233,541,710.60
  5. Step 5: Solve for x
    x = 233,541,710.60/17,324.87
  6. Step 6: Final answer
    x = 13,480.15

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1.5x scale

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.