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Finding the Fourth Proportional to 27,682.73, 38,200.76 and 15,745.81

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Solution

The fourth proportional to 27,682.73, 38,200.76 and 15,745.81 is: 21,728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.73 : 38,200.76 = 15,745.81 : x
  2. Step 2: Convert to fraction form
    27,682.73/38,200.76 = 15,745.81/x
  3. Step 3: Cross multiply
    27,682.73x = 38,200.76 × 15,745.81
  4. Step 4: Simplify right side
    27,682.73x = 601,501,908.82
  5. Step 5: Solve for x
    x = 601,501,908.82/27,682.73
  6. Step 6: Final answer
    x = 21,728.42

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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.