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Finding the Fourth Proportional to 22,809.96, 34,216.77 and 8,022.20

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Solution

The fourth proportional to 22,809.96, 34,216.77 and 8,022.20 is: 12,033.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.96 : 34,216.77 = 8,022.20 : x
  2. Step 2: Convert to fraction form
    22,809.96/34,216.77 = 8,022.20/x
  3. Step 3: Cross multiply
    22,809.96x = 34,216.77 × 8,022.20
  4. Step 4: Simplify right side
    22,809.96x = 274,493,601.21
  5. Step 5: Solve for x
    x = 274,493,601.21/22,809.96
  6. Step 6: Final answer
    x = 12,033.94

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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.