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Finding the Fourth Proportional to 26,074.14, 39,097.08 and 9,198.69

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Solution

The fourth proportional to 26,074.14, 39,097.08 and 9,198.69 is: 13,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,074.14 : 39,097.08 = 9,198.69 : x
  2. Step 2: Convert to fraction form
    26,074.14/39,097.08 = 9,198.69/x
  3. Step 3: Cross multiply
    26,074.14x = 39,097.08 × 9,198.69
  4. Step 4: Simplify right side
    26,074.14x = 359,641,918.83
  5. Step 5: Solve for x
    x = 359,641,918.83/26,074.14
  6. Step 6: Final answer
    x = 13,793.05

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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.