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Finding the Fourth Proportional to 17,744.22, 24,487.00 and 9,786.96

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Solution

The fourth proportional to 17,744.22, 24,487.00 and 9,786.96 is: 13,505.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.22 : 24,487.00 = 9,786.96 : x
  2. Step 2: Convert to fraction form
    17,744.22/24,487.00 = 9,786.96/x
  3. Step 3: Cross multiply
    17,744.22x = 24,487.00 × 9,786.96
  4. Step 4: Simplify right side
    17,744.22x = 239,653,265.05
  5. Step 5: Solve for x
    x = 239,653,265.05/17,744.22
  6. Step 6: Final answer
    x = 13,505.99

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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.