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Finding the Fourth Proportional to 19,540.50, 26,965.54 and 11,042.44

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Solution

The fourth proportional to 19,540.50, 26,965.54 and 11,042.44 is: 15,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,540.50 : 26,965.54 = 11,042.44 : x
  2. Step 2: Convert to fraction form
    19,540.50/26,965.54 = 11,042.44/x
  3. Step 3: Cross multiply
    19,540.50x = 26,965.54 × 11,042.44
  4. Step 4: Simplify right side
    19,540.50x = 297,765,357.52
  5. Step 5: Solve for x
    x = 297,765,357.52/19,540.50
  6. Step 6: Final answer
    x = 15,238.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.