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Finding the Fourth Proportional to 12,167.72, 18,254.82 and 3,847.94

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Solution

The fourth proportional to 12,167.72, 18,254.82 and 3,847.94 is: 5,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.72 : 18,254.82 = 3,847.94 : x
  2. Step 2: Convert to fraction form
    12,167.72/18,254.82 = 3,847.94/x
  3. Step 3: Cross multiply
    12,167.72x = 18,254.82 × 3,847.94
  4. Step 4: Simplify right side
    12,167.72x = 70,243,452.07
  5. Step 5: Solve for x
    x = 70,243,452.07/12,167.72
  6. Step 6: Final answer
    x = 5,772.93

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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.