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Finding the Fourth Proportional to 21,531.42, 32,297.09 and 5,949

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Solution

The fourth proportional to 21,531.42, 32,297.09 and 5,949 is: 8,923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,531.42 : 32,297.09 = 5,949 : x
  2. Step 2: Convert to fraction form
    21,531.42/32,297.09 = 5,949/x
  3. Step 3: Cross multiply
    21,531.42x = 32,297.09 × 5,949
  4. Step 4: Simplify right side
    21,531.42x = 192,135,358.67
  5. Step 5: Solve for x
    x = 192,135,358.67/21,531.42
  6. Step 6: Final answer
    x = 8,923.49

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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.