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Finding the Fourth Proportional to 23,080.34, 34,591.34 and 11,989.82

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Solution

The fourth proportional to 23,080.34, 34,591.34 and 11,989.82 is: 17,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,080.34 : 34,591.34 = 11,989.82 : x
  2. Step 2: Convert to fraction form
    23,080.34/34,591.34 = 11,989.82/x
  3. Step 3: Cross multiply
    23,080.34x = 34,591.34 × 11,989.82
  4. Step 4: Simplify right side
    23,080.34x = 414,743,940.16
  5. Step 5: Solve for x
    x = 414,743,940.16/23,080.34
  6. Step 6: Final answer
    x = 17,969.58

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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.