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Finding the Fourth Proportional to 27,203.54, 40,797.39 and 11,408.15

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Solution

The fourth proportional to 27,203.54, 40,797.39 and 11,408.15 is: 17,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,203.54 : 40,797.39 = 11,408.15 : x
  2. Step 2: Convert to fraction form
    27,203.54/40,797.39 = 11,408.15/x
  3. Step 3: Cross multiply
    27,203.54x = 40,797.39 × 11,408.15
  4. Step 4: Simplify right side
    27,203.54x = 465,422,540.74
  5. Step 5: Solve for x
    x = 465,422,540.74/27,203.54
  6. Step 6: Final answer
    x = 17,108.90

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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.