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Finding the Fourth Proportional to 13,012.25, 17,959.73 and 8,231.90

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Solution

The fourth proportional to 13,012.25, 17,959.73 and 8,231.90 is: 11,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.25 : 17,959.73 = 8,231.90 : x
  2. Step 2: Convert to fraction form
    13,012.25/17,959.73 = 8,231.90/x
  3. Step 3: Cross multiply
    13,012.25x = 17,959.73 × 8,231.90
  4. Step 4: Simplify right side
    13,012.25x = 147,842,570.43
  5. Step 5: Solve for x
    x = 147,842,570.43/13,012.25
  6. Step 6: Final answer
    x = 11,361.80

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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.