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Finding the Fourth Proportional to 12,464.28, 18,696.32 and 3,104.22

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Solution

The fourth proportional to 12,464.28, 18,696.32 and 3,104.22 is: 4,656.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.28 : 18,696.32 = 3,104.22 : x
  2. Step 2: Convert to fraction form
    12,464.28/18,696.32 = 3,104.22/x
  3. Step 3: Cross multiply
    12,464.28x = 18,696.32 × 3,104.22
  4. Step 4: Simplify right side
    12,464.28x = 58,037,556.70
  5. Step 5: Solve for x
    x = 58,037,556.70/12,464.28
  6. Step 6: Final answer
    x = 4,656.31

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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.