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Finding the Fourth Proportional to 23,709.78, 35,571.15 and 8,128.62

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Solution

The fourth proportional to 23,709.78, 35,571.15 and 8,128.62 is: 12,195.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.78 : 35,571.15 = 8,128.62 : x
  2. Step 2: Convert to fraction form
    23,709.78/35,571.15 = 8,128.62/x
  3. Step 3: Cross multiply
    23,709.78x = 35,571.15 × 8,128.62
  4. Step 4: Simplify right side
    23,709.78x = 289,144,361.31
  5. Step 5: Solve for x
    x = 289,144,361.31/23,709.78
  6. Step 6: Final answer
    x = 12,195.15

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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.