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Finding the Fourth Proportional to 23,084.31, 34,629.81 and 7,283.98

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Solution

The fourth proportional to 23,084.31, 34,629.81 and 7,283.98 is: 10,927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,084.31 : 34,629.81 = 7,283.98 : x
  2. Step 2: Convert to fraction form
    23,084.31/34,629.81 = 7,283.98/x
  3. Step 3: Cross multiply
    23,084.31x = 34,629.81 × 7,283.98
  4. Step 4: Simplify right side
    23,084.31x = 252,242,843.44
  5. Step 5: Solve for x
    x = 252,242,843.44/23,084.31
  6. Step 6: Final answer
    x = 10,927.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.