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Finding the Fourth Proportional to 20,646.92, 30,959.44 and 8,166.44

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Solution

The fourth proportional to 20,646.92, 30,959.44 and 8,166.44 is: 12,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646.92 : 30,959.44 = 8,166.44 : x
  2. Step 2: Convert to fraction form
    20,646.92/30,959.44 = 8,166.44/x
  3. Step 3: Cross multiply
    20,646.92x = 30,959.44 × 8,166.44
  4. Step 4: Simplify right side
    20,646.92x = 252,828,409.19
  5. Step 5: Solve for x
    x = 252,828,409.19/20,646.92
  6. Step 6: Final answer
    x = 12,245.33

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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.