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Finding the Fourth Proportional to 13,002.75, 17,936.51 and 7,969.41

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Solution

The fourth proportional to 13,002.75, 17,936.51 and 7,969.41 is: 10,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.75 : 17,936.51 = 7,969.41 : x
  2. Step 2: Convert to fraction form
    13,002.75/17,936.51 = 7,969.41/x
  3. Step 3: Cross multiply
    13,002.75x = 17,936.51 × 7,969.41
  4. Step 4: Simplify right side
    13,002.75x = 142,943,362.31
  5. Step 5: Solve for x
    x = 142,943,362.31/13,002.75
  6. Step 6: Final answer
    x = 10,993.32

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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.