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Finding the Fourth Proportional to 17,199.54, 23,734.98 and 9,542.82

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Solution

The fourth proportional to 17,199.54, 23,734.98 and 9,542.82 is: 13,168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,199.54 : 23,734.98 = 9,542.82 : x
  2. Step 2: Convert to fraction form
    17,199.54/23,734.98 = 9,542.82/x
  3. Step 3: Cross multiply
    17,199.54x = 23,734.98 × 9,542.82
  4. Step 4: Simplify right side
    17,199.54x = 226,498,641.84
  5. Step 5: Solve for x
    x = 226,498,641.84/17,199.54
  6. Step 6: Final answer
    x = 13,168.88

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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.