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Finding the Fourth Proportional to 23,027.88, 34,518.75 and 9,704.09

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Solution

The fourth proportional to 23,027.88, 34,518.75 and 9,704.09 is: 14,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,027.88 : 34,518.75 = 9,704.09 : x
  2. Step 2: Convert to fraction form
    23,027.88/34,518.75 = 9,704.09/x
  3. Step 3: Cross multiply
    23,027.88x = 34,518.75 × 9,704.09
  4. Step 4: Simplify right side
    23,027.88x = 334,972,884.09
  5. Step 5: Solve for x
    x = 334,972,884.09/23,027.88
  6. Step 6: Final answer
    x = 14,546.41

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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.