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Finding the Fourth Proportional to 21,676.26, 32,517.11 and 7,447.49

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Solution

The fourth proportional to 21,676.26, 32,517.11 and 7,447.49 is: 11,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.26 : 32,517.11 = 7,447.49 : x
  2. Step 2: Convert to fraction form
    21,676.26/32,517.11 = 7,447.49/x
  3. Step 3: Cross multiply
    21,676.26x = 32,517.11 × 7,447.49
  4. Step 4: Simplify right side
    21,676.26x = 242,170,851.55
  5. Step 5: Solve for x
    x = 242,170,851.55/21,676.26
  6. Step 6: Final answer
    x = 11,172.17

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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.