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Finding the Fourth Proportional to 22,580.43, 33,772.22 and 13,198.20

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Solution

The fourth proportional to 22,580.43, 33,772.22 and 13,198.20 is: 19,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.43 : 33,772.22 = 13,198.20 : x
  2. Step 2: Convert to fraction form
    22,580.43/33,772.22 = 13,198.20/x
  3. Step 3: Cross multiply
    22,580.43x = 33,772.22 × 13,198.20
  4. Step 4: Simplify right side
    22,580.43x = 445,732,514.00
  5. Step 5: Solve for x
    x = 445,732,514.00/22,580.43
  6. Step 6: Final answer
    x = 19,739.77

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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.