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Finding the Fourth Proportional to 13,863, 20,794.68 and 4,629

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Solution

The fourth proportional to 13,863, 20,794.68 and 4,629 is: 6,943.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863 : 20,794.68 = 4,629 : x
  2. Step 2: Convert to fraction form
    13,863/20,794.68 = 4,629/x
  3. Step 3: Cross multiply
    13,863x = 20,794.68 × 4,629
  4. Step 4: Simplify right side
    13,863x = 96,258,573.72
  5. Step 5: Solve for x
    x = 96,258,573.72/13,863
  6. Step 6: Final answer
    x = 6,943.56

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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.