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Finding the Fourth Proportional to 23,776.80, 35,665.38 and 7,136.96

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Solution

The fourth proportional to 23,776.80, 35,665.38 and 7,136.96 is: 10,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.80 : 35,665.38 = 7,136.96 : x
  2. Step 2: Convert to fraction form
    23,776.80/35,665.38 = 7,136.96/x
  3. Step 3: Cross multiply
    23,776.80x = 35,665.38 × 7,136.96
  4. Step 4: Simplify right side
    23,776.80x = 254,542,390.44
  5. Step 5: Solve for x
    x = 254,542,390.44/23,776.80
  6. Step 6: Final answer
    x = 10,705.49

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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.