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Finding the Fourth Proportional to 12,614.80, 18,912.12 and 5,222.92

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Solution

The fourth proportional to 12,614.80, 18,912.12 and 5,222.92 is: 7,830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.80 : 18,912.12 = 5,222.92 : x
  2. Step 2: Convert to fraction form
    12,614.80/18,912.12 = 5,222.92/x
  3. Step 3: Cross multiply
    12,614.80x = 18,912.12 × 5,222.92
  4. Step 4: Simplify right side
    12,614.80x = 98,776,489.79
  5. Step 5: Solve for x
    x = 98,776,489.79/12,614.80
  6. Step 6: Final answer
    x = 7,830.21

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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.