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Finding the Fourth Proportional to 12,214.93, 18,318.73 and 5,194.89

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Solution

The fourth proportional to 12,214.93, 18,318.73 and 5,194.89 is: 7,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.93 : 18,318.73 = 5,194.89 : x
  2. Step 2: Convert to fraction form
    12,214.93/18,318.73 = 5,194.89/x
  3. Step 3: Cross multiply
    12,214.93x = 18,318.73 × 5,194.89
  4. Step 4: Simplify right side
    12,214.93x = 95,163,787.29
  5. Step 5: Solve for x
    x = 95,163,787.29/12,214.93
  6. Step 6: Final answer
    x = 7,790.78

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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.