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Finding the Fourth Proportional to 12,280.43, 16,945.76 and 6,974.21

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Solution

The fourth proportional to 12,280.43, 16,945.76 and 6,974.21 is: 9,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.43 : 16,945.76 = 6,974.21 : x
  2. Step 2: Convert to fraction form
    12,280.43/16,945.76 = 6,974.21/x
  3. Step 3: Cross multiply
    12,280.43x = 16,945.76 × 6,974.21
  4. Step 4: Simplify right side
    12,280.43x = 118,183,253.98
  5. Step 5: Solve for x
    x = 118,183,253.98/12,280.43
  6. Step 6: Final answer
    x = 9,623.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.