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Finding the Fourth Proportional to 23,078.64, 34,616.58 and 6,439.62

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Solution

The fourth proportional to 23,078.64, 34,616.58 and 6,439.62 is: 9,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,078.64 : 34,616.58 = 6,439.62 : x
  2. Step 2: Convert to fraction form
    23,078.64/34,616.58 = 6,439.62/x
  3. Step 3: Cross multiply
    23,078.64x = 34,616.58 × 6,439.62
  4. Step 4: Simplify right side
    23,078.64x = 222,917,620.90
  5. Step 5: Solve for x
    x = 222,917,620.90/23,078.64
  6. Step 6: Final answer
    x = 9,659.04

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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.