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Finding the Fourth Proportional to 21,531.54, 32,297.29 and 5,949.16

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Solution

The fourth proportional to 21,531.54, 32,297.29 and 5,949.16 is: 8,923.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,531.54 : 32,297.29 = 5,949.16 : x
  2. Step 2: Convert to fraction form
    21,531.54/32,297.29 = 5,949.16/x
  3. Step 3: Cross multiply
    21,531.54x = 32,297.29 × 5,949.16
  4. Step 4: Simplify right side
    21,531.54x = 192,141,745.78
  5. Step 5: Solve for x
    x = 192,141,745.78/21,531.54
  6. Step 6: Final answer
    x = 8,923.73

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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.