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Finding the Fourth Proportional to 23,782.92, 35,654.92 and 8,983.44

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Solution

The fourth proportional to 23,782.92, 35,654.92 and 8,983.44 is: 13,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.92 : 35,654.92 = 8,983.44 : x
  2. Step 2: Convert to fraction form
    23,782.92/35,654.92 = 8,983.44/x
  3. Step 3: Cross multiply
    23,782.92x = 35,654.92 × 8,983.44
  4. Step 4: Simplify right side
    23,782.92x = 320,303,834.52
  5. Step 5: Solve for x
    x = 320,303,834.52/23,782.92
  6. Step 6: Final answer
    x = 13,467.81

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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.