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Finding the Fourth Proportional to 17,744.72, 24,487.32 and 9,786.80

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Solution

The fourth proportional to 17,744.72, 24,487.32 and 9,786.80 is: 13,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.72 : 24,487.32 = 9,786.80 : x
  2. Step 2: Convert to fraction form
    17,744.72/24,487.32 = 9,786.80/x
  3. Step 3: Cross multiply
    17,744.72x = 24,487.32 × 9,786.80
  4. Step 4: Simplify right side
    17,744.72x = 239,652,503.38
  5. Step 5: Solve for x
    x = 239,652,503.38/17,744.72
  6. Step 6: Final answer
    x = 13,505.57

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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.