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Finding the Fourth Proportional to 13,722, 18,936.57 and 7,434.38

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Solution

The fourth proportional to 13,722, 18,936.57 and 7,434.38 is: 10,259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722 : 18,936.57 = 7,434.38 : x
  2. Step 2: Convert to fraction form
    13,722/18,936.57 = 7,434.38/x
  3. Step 3: Cross multiply
    13,722x = 18,936.57 × 7,434.38
  4. Step 4: Simplify right side
    13,722x = 140,781,562.59
  5. Step 5: Solve for x
    x = 140,781,562.59/13,722
  6. Step 6: Final answer
    x = 10,259.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.