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Finding the Fourth Proportional to 21,745.44, 32,632.77 and 7,705.41

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Solution

The fourth proportional to 21,745.44, 32,632.77 and 7,705.41 is: 11,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,745.44 : 32,632.77 = 7,705.41 : x
  2. Step 2: Convert to fraction form
    21,745.44/32,632.77 = 7,705.41/x
  3. Step 3: Cross multiply
    21,745.44x = 32,632.77 × 7,705.41
  4. Step 4: Simplify right side
    21,745.44x = 251,448,872.29
  5. Step 5: Solve for x
    x = 251,448,872.29/21,745.44
  6. Step 6: Final answer
    x = 11,563.29

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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.