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Finding the Fourth Proportional to 17,744.72, 24,486.44 and 9,786.77

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Solution

The fourth proportional to 17,744.72, 24,486.44 and 9,786.77 is: 13,505.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.72 : 24,486.44 = 9,786.77 : x
  2. Step 2: Convert to fraction form
    17,744.72/24,486.44 = 9,786.77/x
  3. Step 3: Cross multiply
    17,744.72x = 24,486.44 × 9,786.77
  4. Step 4: Simplify right side
    17,744.72x = 239,642,985.03
  5. Step 5: Solve for x
    x = 239,642,985.03/17,744.72
  6. Step 6: Final answer
    x = 13,505.03

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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.