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Finding the Fourth Proportional to 23,076.78, 34,622.01 and 9,751.07

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Solution

The fourth proportional to 23,076.78, 34,622.01 and 9,751.07 is: 14,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076.78 : 34,622.01 = 9,751.07 : x
  2. Step 2: Convert to fraction form
    23,076.78/34,622.01 = 9,751.07/x
  3. Step 3: Cross multiply
    23,076.78x = 34,622.01 × 9,751.07
  4. Step 4: Simplify right side
    23,076.78x = 337,601,469.94
  5. Step 5: Solve for x
    x = 337,601,469.94/23,076.78
  6. Step 6: Final answer
    x = 14,629.49

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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.