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Finding the Fourth Proportional to 23,080.67, 31,850.42 and 13,011.16

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Solution

The fourth proportional to 23,080.67, 31,850.42 and 13,011.16 is: 17,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,080.67 : 31,850.42 = 13,011.16 : x
  2. Step 2: Convert to fraction form
    23,080.67/31,850.42 = 13,011.16/x
  3. Step 3: Cross multiply
    23,080.67x = 31,850.42 × 13,011.16
  4. Step 4: Simplify right side
    23,080.67x = 414,410,751.44
  5. Step 5: Solve for x
    x = 414,410,751.44/23,080.67
  6. Step 6: Final answer
    x = 17,954.88

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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.