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Finding the Fourth Proportional to 12,743.20, 19,093.88 and 12,257.20

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Solution

The fourth proportional to 12,743.20, 19,093.88 and 12,257.20 is: 18,365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743.20 : 19,093.88 = 12,257.20 : x
  2. Step 2: Convert to fraction form
    12,743.20/19,093.88 = 12,257.20/x
  3. Step 3: Cross multiply
    12,743.20x = 19,093.88 × 12,257.20
  4. Step 4: Simplify right side
    12,743.20x = 234,037,505.94
  5. Step 5: Solve for x
    x = 234,037,505.94/12,743.20
  6. Step 6: Final answer
    x = 18,365.68

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1.5x scale

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.