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Finding the Fourth Proportional to 12,661.72, 18,992.58 and 3,428.44

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Solution

The fourth proportional to 12,661.72, 18,992.58 and 3,428.44 is: 5,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.72 : 18,992.58 = 3,428.44 : x
  2. Step 2: Convert to fraction form
    12,661.72/18,992.58 = 3,428.44/x
  3. Step 3: Cross multiply
    12,661.72x = 18,992.58 × 3,428.44
  4. Step 4: Simplify right side
    12,661.72x = 65,114,920.98
  5. Step 5: Solve for x
    x = 65,114,920.98/12,661.72
  6. Step 6: Final answer
    x = 5,142.66

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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.