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Finding the Fourth Proportional to 27,852.82, 38,451.83 and 21,512.23

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Solution

The fourth proportional to 27,852.82, 38,451.83 and 21,512.23 is: 29,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,852.82 : 38,451.83 = 21,512.23 : x
  2. Step 2: Convert to fraction form
    27,852.82/38,451.83 = 21,512.23/x
  3. Step 3: Cross multiply
    27,852.82x = 38,451.83 × 21,512.23
  4. Step 4: Simplify right side
    27,852.82x = 827,184,610.88
  5. Step 5: Solve for x
    x = 827,184,610.88/27,852.82
  6. Step 6: Final answer
    x = 29,698.42

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