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Finding the Fourth Proportional to 21,744.84, 32,616.22 and 7,704.64

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Solution

The fourth proportional to 21,744.84, 32,616.22 and 7,704.64 is: 11,556.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,744.84 : 32,616.22 = 7,704.64 : x
  2. Step 2: Convert to fraction form
    21,744.84/32,616.22 = 7,704.64/x
  3. Step 3: Cross multiply
    21,744.84x = 32,616.22 × 7,704.64
  4. Step 4: Simplify right side
    21,744.84x = 251,296,233.26
  5. Step 5: Solve for x
    x = 251,296,233.26/21,744.84
  6. Step 6: Final answer
    x = 11,556.59

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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.