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Finding the Fourth Proportional to 23,855.28, 35,782.94 and 8,272.92

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Solution

The fourth proportional to 23,855.28, 35,782.94 and 8,272.92 is: 12,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,855.28 : 35,782.94 = 8,272.92 : x
  2. Step 2: Convert to fraction form
    23,855.28/35,782.94 = 8,272.92/x
  3. Step 3: Cross multiply
    23,855.28x = 35,782.94 × 8,272.92
  4. Step 4: Simplify right side
    23,855.28x = 296,029,358.62
  5. Step 5: Solve for x
    x = 296,029,358.62/23,855.28
  6. Step 6: Final answer
    x = 12,409.39

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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.