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Finding the Fourth Proportional to 23,576.96, 35,369.81 and 7,783.09

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Solution

The fourth proportional to 23,576.96, 35,369.81 and 7,783.09 is: 11,676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,576.96 : 35,369.81 = 7,783.09 : x
  2. Step 2: Convert to fraction form
    23,576.96/35,369.81 = 7,783.09/x
  3. Step 3: Cross multiply
    23,576.96x = 35,369.81 × 7,783.09
  4. Step 4: Simplify right side
    23,576.96x = 275,286,294.47
  5. Step 5: Solve for x
    x = 275,286,294.47/23,576.96
  6. Step 6: Final answer
    x = 11,676.07

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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.