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Finding the Fourth Proportional to 23,855.72, 35,790 and 8,273.36

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Solution

The fourth proportional to 23,855.72, 35,790 and 8,273.36 is: 12,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,855.72 : 35,790 = 8,273.36 : x
  2. Step 2: Convert to fraction form
    23,855.72/35,790 = 8,273.36/x
  3. Step 3: Cross multiply
    23,855.72x = 35,790 × 8,273.36
  4. Step 4: Simplify right side
    23,855.72x = 296,103,554.40
  5. Step 5: Solve for x
    x = 296,103,554.40/23,855.72
  6. Step 6: Final answer
    x = 12,412.27

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Why These Related Problems?

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