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Finding the Fourth Proportional to 17,744.09, 24,486.89 and 9,786.11

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Solution

The fourth proportional to 17,744.09, 24,486.89 and 9,786.11 is: 13,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.09 : 24,486.89 = 9,786.11 : x
  2. Step 2: Convert to fraction form
    17,744.09/24,486.89 = 9,786.11/x
  3. Step 3: Cross multiply
    17,744.09x = 24,486.89 × 9,786.11
  4. Step 4: Simplify right side
    17,744.09x = 239,631,227.73
  5. Step 5: Solve for x
    x = 239,631,227.73/17,744.09
  6. Step 6: Final answer
    x = 13,504.85

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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.