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Finding the Fourth Proportional to 23,258.82, 34,893.68 and 7,676.43

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Solution

The fourth proportional to 23,258.82, 34,893.68 and 7,676.43 is: 11,516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258.82 : 34,893.68 = 7,676.43 : x
  2. Step 2: Convert to fraction form
    23,258.82/34,893.68 = 7,676.43/x
  3. Step 3: Cross multiply
    23,258.82x = 34,893.68 × 7,676.43
  4. Step 4: Simplify right side
    23,258.82x = 267,858,853.58
  5. Step 5: Solve for x
    x = 267,858,853.58/23,258.82
  6. Step 6: Final answer
    x = 11,516.44

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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.