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Finding the Fourth Proportional to 13,722.26, 18,936.81 and 7,434.63

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Solution

The fourth proportional to 13,722.26, 18,936.81 and 7,434.63 is: 10,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.26 : 18,936.81 = 7,434.63 : x
  2. Step 2: Convert to fraction form
    13,722.26/18,936.81 = 7,434.63/x
  3. Step 3: Cross multiply
    13,722.26x = 18,936.81 × 7,434.63
  4. Step 4: Simplify right side
    13,722.26x = 140,788,175.73
  5. Step 5: Solve for x
    x = 140,788,175.73/13,722.26
  6. Step 6: Final answer
    x = 10,259.84

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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.