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Finding the Fourth Proportional to 12,604.86, 18,896.96 and 5,214.62

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Solution

The fourth proportional to 12,604.86, 18,896.96 and 5,214.62 is: 7,817.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.86 : 18,896.96 = 5,214.62 : x
  2. Step 2: Convert to fraction form
    12,604.86/18,896.96 = 5,214.62/x
  3. Step 3: Cross multiply
    12,604.86x = 18,896.96 × 5,214.62
  4. Step 4: Simplify right side
    12,604.86x = 98,540,465.56
  5. Step 5: Solve for x
    x = 98,540,465.56/12,604.86
  6. Step 6: Final answer
    x = 7,817.66

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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.