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Finding the Fourth Proportional to 13,722.42, 18,936.90 and 7,434.78

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Solution

The fourth proportional to 13,722.42, 18,936.90 and 7,434.78 is: 10,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.42 : 18,936.90 = 7,434.78 : x
  2. Step 2: Convert to fraction form
    13,722.42/18,936.90 = 7,434.78/x
  3. Step 3: Cross multiply
    13,722.42x = 18,936.90 × 7,434.78
  4. Step 4: Simplify right side
    13,722.42x = 140,791,685.38
  5. Step 5: Solve for x
    x = 140,791,685.38/13,722.42
  6. Step 6: Final answer
    x = 10,259.97

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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.