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Finding the Fourth Proportional to 21,738.54, 32,612.49 and 6,745.36

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Solution

The fourth proportional to 21,738.54, 32,612.49 and 6,745.36 is: 10,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,738.54 : 32,612.49 = 6,745.36 : x
  2. Step 2: Convert to fraction form
    21,738.54/32,612.49 = 6,745.36/x
  3. Step 3: Cross multiply
    21,738.54x = 32,612.49 × 6,745.36
  4. Step 4: Simplify right side
    21,738.54x = 219,982,965.16
  5. Step 5: Solve for x
    x = 219,982,965.16/21,738.54
  6. Step 6: Final answer
    x = 10,119.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.