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Finding the Fourth Proportional to 11,840.90, 17,757.81 and 9,755.73

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Solution

The fourth proportional to 11,840.90, 17,757.81 and 9,755.73 is: 14,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.90 : 17,757.81 = 9,755.73 : x
  2. Step 2: Convert to fraction form
    11,840.90/17,757.81 = 9,755.73/x
  3. Step 3: Cross multiply
    11,840.90x = 17,757.81 × 9,755.73
  4. Step 4: Simplify right side
    11,840.90x = 173,240,399.75
  5. Step 5: Solve for x
    x = 173,240,399.75/11,840.90
  6. Step 6: Final answer
    x = 14,630.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.