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Finding the Fourth Proportional to 25,664.80, 38,493.78 and 8,136.40

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Solution

The fourth proportional to 25,664.80, 38,493.78 and 8,136.40 is: 12,203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,664.80 : 38,493.78 = 8,136.40 : x
  2. Step 2: Convert to fraction form
    25,664.80/38,493.78 = 8,136.40/x
  3. Step 3: Cross multiply
    25,664.80x = 38,493.78 × 8,136.40
  4. Step 4: Simplify right side
    25,664.80x = 313,200,791.59
  5. Step 5: Solve for x
    x = 313,200,791.59/25,664.80
  6. Step 6: Final answer
    x = 12,203.52

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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.