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Finding the Fourth Proportional to 13,836.94, 20,761.49 and 7,261.58

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Solution

The fourth proportional to 13,836.94, 20,761.49 and 7,261.58 is: 10,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,836.94 : 20,761.49 = 7,261.58 : x
  2. Step 2: Convert to fraction form
    13,836.94/20,761.49 = 7,261.58/x
  3. Step 3: Cross multiply
    13,836.94x = 20,761.49 × 7,261.58
  4. Step 4: Simplify right side
    13,836.94x = 150,761,290.61
  5. Step 5: Solve for x
    x = 150,761,290.61/13,836.94
  6. Step 6: Final answer
    x = 10,895.57

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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.