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Finding the Fourth Proportional to 13,026.06, 17,975.25 and 7,361.46

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Solution

The fourth proportional to 13,026.06, 17,975.25 and 7,361.46 is: 10,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.06 : 17,975.25 = 7,361.46 : x
  2. Step 2: Convert to fraction form
    13,026.06/17,975.25 = 7,361.46/x
  3. Step 3: Cross multiply
    13,026.06x = 17,975.25 × 7,361.46
  4. Step 4: Simplify right side
    13,026.06x = 132,324,083.87
  5. Step 5: Solve for x
    x = 132,324,083.87/13,026.06
  6. Step 6: Final answer
    x = 10,158.41

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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.