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Finding the Fourth Proportional to 22,514.37, 33,760.95 and 13,157.09

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Solution

The fourth proportional to 22,514.37, 33,760.95 and 13,157.09 is: 19,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.37 : 33,760.95 = 13,157.09 : x
  2. Step 2: Convert to fraction form
    22,514.37/33,760.95 = 13,157.09/x
  3. Step 3: Cross multiply
    22,514.37x = 33,760.95 × 13,157.09
  4. Step 4: Simplify right side
    22,514.37x = 444,195,857.64
  5. Step 5: Solve for x
    x = 444,195,857.64/22,514.37
  6. Step 6: Final answer
    x = 19,729.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.