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Finding the Fourth Proportional to 13,003.18, 17,954.04 and 7,974.34

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Solution

The fourth proportional to 13,003.18, 17,954.04 and 7,974.34 is: 11,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.18 : 17,954.04 = 7,974.34 : x
  2. Step 2: Convert to fraction form
    13,003.18/17,954.04 = 7,974.34/x
  3. Step 3: Cross multiply
    13,003.18x = 17,954.04 × 7,974.34
  4. Step 4: Simplify right side
    13,003.18x = 143,171,619.33
  5. Step 5: Solve for x
    x = 143,171,619.33/13,003.18
  6. Step 6: Final answer
    x = 11,010.51

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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.