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Finding the Fourth Proportional to 23,780.08, 35,661.92 and 8,194.08

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Solution

The fourth proportional to 23,780.08, 35,661.92 and 8,194.08 is: 12,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,780.08 : 35,661.92 = 8,194.08 : x
  2. Step 2: Convert to fraction form
    23,780.08/35,661.92 = 8,194.08/x
  3. Step 3: Cross multiply
    23,780.08x = 35,661.92 × 8,194.08
  4. Step 4: Simplify right side
    23,780.08x = 292,216,625.43
  5. Step 5: Solve for x
    x = 292,216,625.43/23,780.08
  6. Step 6: Final answer
    x = 12,288.29

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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.