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Finding the Fourth Proportional to 21,971.89, 30,321.26 and 12,149.22

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Solution

The fourth proportional to 21,971.89, 30,321.26 and 12,149.22 is: 16,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971.89 : 30,321.26 = 12,149.22 : x
  2. Step 2: Convert to fraction form
    21,971.89/30,321.26 = 12,149.22/x
  3. Step 3: Cross multiply
    21,971.89x = 30,321.26 × 12,149.22
  4. Step 4: Simplify right side
    21,971.89x = 368,379,756.94
  5. Step 5: Solve for x
    x = 368,379,756.94/21,971.89
  6. Step 6: Final answer
    x = 16,765.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.