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Finding the Fourth Proportional to 22,563.23, 33,844.41 and 7,771.82

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Solution

The fourth proportional to 22,563.23, 33,844.41 and 7,771.82 is: 11,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.23 : 33,844.41 = 7,771.82 : x
  2. Step 2: Convert to fraction form
    22,563.23/33,844.41 = 7,771.82/x
  3. Step 3: Cross multiply
    22,563.23x = 33,844.41 × 7,771.82
  4. Step 4: Simplify right side
    22,563.23x = 263,032,493.30
  5. Step 5: Solve for x
    x = 263,032,493.30/22,563.23
  6. Step 6: Final answer
    x = 11,657.58

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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.