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Finding the Fourth Proportional to 17,336.24, 23,922.24 and 9,781.88

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Solution

The fourth proportional to 17,336.24, 23,922.24 and 9,781.88 is: 13,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,336.24 : 23,922.24 = 9,781.88 : x
  2. Step 2: Convert to fraction form
    17,336.24/23,922.24 = 9,781.88/x
  3. Step 3: Cross multiply
    17,336.24x = 23,922.24 × 9,781.88
  4. Step 4: Simplify right side
    17,336.24x = 234,004,481.01
  5. Step 5: Solve for x
    x = 234,004,481.01/17,336.24
  6. Step 6: Final answer
    x = 13,498.00

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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.