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Finding the Fourth Proportional to 13,722.25, 18,936.84 and 7,434.76

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Solution

The fourth proportional to 13,722.25, 18,936.84 and 7,434.76 is: 10,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.25 : 18,936.84 = 7,434.76 : x
  2. Step 2: Convert to fraction form
    13,722.25/18,936.84 = 7,434.76/x
  3. Step 3: Cross multiply
    13,722.25x = 18,936.84 × 7,434.76
  4. Step 4: Simplify right side
    13,722.25x = 140,790,860.56
  5. Step 5: Solve for x
    x = 140,790,860.56/13,722.25
  6. Step 6: Final answer
    x = 10,260.04

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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.