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Finding the Fourth Proportional to 20,101.90, 27,738.52 and 11,601.15

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Solution

The fourth proportional to 20,101.90, 27,738.52 and 11,601.15 is: 16,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.90 : 27,738.52 = 11,601.15 : x
  2. Step 2: Convert to fraction form
    20,101.90/27,738.52 = 11,601.15/x
  3. Step 3: Cross multiply
    20,101.90x = 27,738.52 × 11,601.15
  4. Step 4: Simplify right side
    20,101.90x = 321,798,676.45
  5. Step 5: Solve for x
    x = 321,798,676.45/20,101.90
  6. Step 6: Final answer
    x = 16,008.38

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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.