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Finding the Fourth Proportional to 21,980.45, 32,974.73 and 7,190.15

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Solution

The fourth proportional to 21,980.45, 32,974.73 and 7,190.15 is: 10,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.45 : 32,974.73 = 7,190.15 : x
  2. Step 2: Convert to fraction form
    21,980.45/32,974.73 = 7,190.15/x
  3. Step 3: Cross multiply
    21,980.45x = 32,974.73 × 7,190.15
  4. Step 4: Simplify right side
    21,980.45x = 237,093,054.09
  5. Step 5: Solve for x
    x = 237,093,054.09/21,980.45
  6. Step 6: Final answer
    x = 10,786.54

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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.