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Finding the Fourth Proportional to 23,634.38, 35,443.85 and 8,638.04

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Solution

The fourth proportional to 23,634.38, 35,443.85 and 8,638.04 is: 12,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.38 : 35,443.85 = 8,638.04 : x
  2. Step 2: Convert to fraction form
    23,634.38/35,443.85 = 8,638.04/x
  3. Step 3: Cross multiply
    23,634.38x = 35,443.85 × 8,638.04
  4. Step 4: Simplify right side
    23,634.38x = 306,165,439.47
  5. Step 5: Solve for x
    x = 306,165,439.47/23,634.38
  6. Step 6: Final answer
    x = 12,954.24

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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.