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Finding the Fourth Proportional to 23,993.82, 35,978.97 and 8,409.18

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Solution

The fourth proportional to 23,993.82, 35,978.97 and 8,409.18 is: 12,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,993.82 : 35,978.97 = 8,409.18 : x
  2. Step 2: Convert to fraction form
    23,993.82/35,978.97 = 8,409.18/x
  3. Step 3: Cross multiply
    23,993.82x = 35,978.97 × 8,409.18
  4. Step 4: Simplify right side
    23,993.82x = 302,553,634.94
  5. Step 5: Solve for x
    x = 302,553,634.94/23,993.82
  6. Step 6: Final answer
    x = 12,609.65

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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.