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Finding the Fourth Proportional to 12,137.36, 18,206.02 and 3,818.09

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Solution

The fourth proportional to 12,137.36, 18,206.02 and 3,818.09 is: 5,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.36 : 18,206.02 = 3,818.09 : x
  2. Step 2: Convert to fraction form
    12,137.36/18,206.02 = 3,818.09/x
  3. Step 3: Cross multiply
    12,137.36x = 18,206.02 × 3,818.09
  4. Step 4: Simplify right side
    12,137.36x = 69,512,258.87
  5. Step 5: Solve for x
    x = 69,512,258.87/12,137.36
  6. Step 6: Final answer
    x = 5,727.13

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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.