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Finding the Fourth Proportional to 19,305, 28,933.02 and 8,198.64

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Solution

The fourth proportional to 19,305, 28,933.02 and 8,198.64 is: 12,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,305 : 28,933.02 = 8,198.64 : x
  2. Step 2: Convert to fraction form
    19,305/28,933.02 = 8,198.64/x
  3. Step 3: Cross multiply
    19,305x = 28,933.02 × 8,198.64
  4. Step 4: Simplify right side
    19,305x = 237,211,415.09
  5. Step 5: Solve for x
    x = 237,211,415.09/19,305
  6. Step 6: Final answer
    x = 12,287.56

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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.