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Finding the Fourth Proportional to 23,758.92, 32,786.82 and 13,147.92

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Solution

The fourth proportional to 23,758.92, 32,786.82 and 13,147.92 is: 18,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758.92 : 32,786.82 = 13,147.92 : x
  2. Step 2: Convert to fraction form
    23,758.92/32,786.82 = 13,147.92/x
  3. Step 3: Cross multiply
    23,758.92x = 32,786.82 × 13,147.92
  4. Step 4: Simplify right side
    23,758.92x = 431,078,486.41
  5. Step 5: Solve for x
    x = 431,078,486.41/23,758.92
  6. Step 6: Final answer
    x = 18,143.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.