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Finding the Fourth Proportional to 22,644.72, 33,954 and 8,777.52

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Solution

The fourth proportional to 22,644.72, 33,954 and 8,777.52 is: 13,161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.72 : 33,954 = 8,777.52 : x
  2. Step 2: Convert to fraction form
    22,644.72/33,954 = 8,777.52/x
  3. Step 3: Cross multiply
    22,644.72x = 33,954 × 8,777.52
  4. Step 4: Simplify right side
    22,644.72x = 298,031,914.08
  5. Step 5: Solve for x
    x = 298,031,914.08/22,644.72
  6. Step 6: Final answer
    x = 13,161.21

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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.