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Finding the Fourth Proportional to 12,628.32, 18,946.73 and 7,942.80

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Solution

The fourth proportional to 12,628.32, 18,946.73 and 7,942.80 is: 11,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,628.32 : 18,946.73 = 7,942.80 : x
  2. Step 2: Convert to fraction form
    12,628.32/18,946.73 = 7,942.80/x
  3. Step 3: Cross multiply
    12,628.32x = 18,946.73 × 7,942.80
  4. Step 4: Simplify right side
    12,628.32x = 150,490,087.04
  5. Step 5: Solve for x
    x = 150,490,087.04/12,628.32
  6. Step 6: Final answer
    x = 11,916.87

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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.