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Finding the Fourth Proportional to 15,676.92, 23,516.73 and 5,143.78

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Solution

The fourth proportional to 15,676.92, 23,516.73 and 5,143.78 is: 7,716.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676.92 : 23,516.73 = 5,143.78 : x
  2. Step 2: Convert to fraction form
    15,676.92/23,516.73 = 5,143.78/x
  3. Step 3: Cross multiply
    15,676.92x = 23,516.73 × 5,143.78
  4. Step 4: Simplify right side
    15,676.92x = 120,964,885.44
  5. Step 5: Solve for x
    x = 120,964,885.44/15,676.92
  6. Step 6: Final answer
    x = 7,716.11

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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.