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Finding the Fourth Proportional to 12,980.25, 17,912.75 and 7,392.33

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Solution

The fourth proportional to 12,980.25, 17,912.75 and 7,392.33 is: 10,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.25 : 17,912.75 = 7,392.33 : x
  2. Step 2: Convert to fraction form
    12,980.25/17,912.75 = 7,392.33/x
  3. Step 3: Cross multiply
    12,980.25x = 17,912.75 × 7,392.33
  4. Step 4: Simplify right side
    12,980.25x = 132,416,922.25
  5. Step 5: Solve for x
    x = 132,416,922.25/12,980.25
  6. Step 6: Final answer
    x = 10,201.42

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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.