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Finding the Fourth Proportional to 12,137.35, 18,206.02 and 6,939.58

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Solution

The fourth proportional to 12,137.35, 18,206.02 and 6,939.58 is: 10,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.35 : 18,206.02 = 6,939.58 : x
  2. Step 2: Convert to fraction form
    12,137.35/18,206.02 = 6,939.58/x
  3. Step 3: Cross multiply
    12,137.35x = 18,206.02 × 6,939.58
  4. Step 4: Simplify right side
    12,137.35x = 126,342,132.27
  5. Step 5: Solve for x
    x = 126,342,132.27/12,137.35
  6. Step 6: Final answer
    x = 10,409.37

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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.