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Finding the Fourth Proportional to 15,772.84, 23,608.23 and 11,611.96

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Solution

The fourth proportional to 15,772.84, 23,608.23 and 11,611.96 is: 17,380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.84 : 23,608.23 = 11,611.96 : x
  2. Step 2: Convert to fraction form
    15,772.84/23,608.23 = 11,611.96/x
  3. Step 3: Cross multiply
    15,772.84x = 23,608.23 × 11,611.96
  4. Step 4: Simplify right side
    15,772.84x = 274,137,822.43
  5. Step 5: Solve for x
    x = 274,137,822.43/15,772.84
  6. Step 6: Final answer
    x = 17,380.37

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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.