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Finding the Fourth Proportional to 12,133.82, 18,200.70 and 3,814.56

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Solution

The fourth proportional to 12,133.82, 18,200.70 and 3,814.56 is: 5,721.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.82 : 18,200.70 = 3,814.56 : x
  2. Step 2: Convert to fraction form
    12,133.82/18,200.70 = 3,814.56/x
  3. Step 3: Cross multiply
    12,133.82x = 18,200.70 × 3,814.56
  4. Step 4: Simplify right side
    12,133.82x = 69,427,626.23
  5. Step 5: Solve for x
    x = 69,427,626.23/12,133.82
  6. Step 6: Final answer
    x = 5,721.83

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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.