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Finding the Fourth Proportional to 23,654.16, 35,481.24 and 8,071.79

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Solution

The fourth proportional to 23,654.16, 35,481.24 and 8,071.79 is: 12,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654.16 : 35,481.24 = 8,071.79 : x
  2. Step 2: Convert to fraction form
    23,654.16/35,481.24 = 8,071.79/x
  3. Step 3: Cross multiply
    23,654.16x = 35,481.24 × 8,071.79
  4. Step 4: Simplify right side
    23,654.16x = 286,396,940.81
  5. Step 5: Solve for x
    x = 286,396,940.81/23,654.16
  6. Step 6: Final answer
    x = 12,107.68

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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.