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Finding the Fourth Proportional to 22,982.67, 31,715.37 and 12,912.21

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Solution

The fourth proportional to 22,982.67, 31,715.37 and 12,912.21 is: 17,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.67 : 31,715.37 = 12,912.21 : x
  2. Step 2: Convert to fraction form
    22,982.67/31,715.37 = 12,912.21/x
  3. Step 3: Cross multiply
    22,982.67x = 31,715.37 × 12,912.21
  4. Step 4: Simplify right side
    22,982.67x = 409,515,517.67
  5. Step 5: Solve for x
    x = 409,515,517.67/22,982.67
  6. Step 6: Final answer
    x = 17,818.45

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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.