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Finding the Fourth Proportional to 21,832.68, 32,794.38 and 21,249.48

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Solution

The fourth proportional to 21,832.68, 32,794.38 and 21,249.48 is: 31,918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.68 : 32,794.38 = 21,249.48 : x
  2. Step 2: Convert to fraction form
    21,832.68/32,794.38 = 21,249.48/x
  3. Step 3: Cross multiply
    21,832.68x = 32,794.38 × 21,249.48
  4. Step 4: Simplify right side
    21,832.68x = 696,863,521.92
  5. Step 5: Solve for x
    x = 696,863,521.92/21,832.68
  6. Step 6: Final answer
    x = 31,918.37

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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.