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Finding the Fourth Proportional to 13,198.68, 19,808.96 and 6,626.75

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Solution

The fourth proportional to 13,198.68, 19,808.96 and 6,626.75 is: 9,945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.68 : 19,808.96 = 6,626.75 : x
  2. Step 2: Convert to fraction form
    13,198.68/19,808.96 = 6,626.75/x
  3. Step 3: Cross multiply
    13,198.68x = 19,808.96 × 6,626.75
  4. Step 4: Simplify right side
    13,198.68x = 131,268,893.50
  5. Step 5: Solve for x
    x = 131,268,893.50/13,198.68
  6. Step 6: Final answer
    x = 9,945.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.