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Finding the Fourth Proportional to 17,744.48, 24,486.94 and 9,786.55

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Solution

The fourth proportional to 17,744.48, 24,486.94 and 9,786.55 is: 13,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.48 : 24,486.94 = 9,786.55 : x
  2. Step 2: Convert to fraction form
    17,744.48/24,486.94 = 9,786.55/x
  3. Step 3: Cross multiply
    17,744.48x = 24,486.94 × 9,786.55
  4. Step 4: Simplify right side
    17,744.48x = 239,642,662.66
  5. Step 5: Solve for x
    x = 239,642,662.66/17,744.48
  6. Step 6: Final answer
    x = 13,505.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.