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Finding the Fourth Proportional to 12,846.72, 19,268.64 and 3,613.44

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Solution

The fourth proportional to 12,846.72, 19,268.64 and 3,613.44 is: 5,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.72 : 19,268.64 = 3,613.44 : x
  2. Step 2: Convert to fraction form
    12,846.72/19,268.64 = 3,613.44/x
  3. Step 3: Cross multiply
    12,846.72x = 19,268.64 × 3,613.44
  4. Step 4: Simplify right side
    12,846.72x = 69,626,074.52
  5. Step 5: Solve for x
    x = 69,626,074.52/12,846.72
  6. Step 6: Final answer
    x = 5,419.75

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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.