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Finding the Fourth Proportional to 17,744.68, 24,487.02 and 9,786.44

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Solution

The fourth proportional to 17,744.68, 24,487.02 and 9,786.44 is: 13,504.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.68 : 24,487.02 = 9,786.44 : x
  2. Step 2: Convert to fraction form
    17,744.68/24,487.02 = 9,786.44/x
  3. Step 3: Cross multiply
    17,744.68x = 24,487.02 × 9,786.44
  4. Step 4: Simplify right side
    17,744.68x = 239,640,752.01
  5. Step 5: Solve for x
    x = 239,640,752.01/17,744.68
  6. Step 6: Final answer
    x = 13,504.94

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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.