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Finding the Fourth Proportional to 16,834, 23,230.44 and 9,280.36

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Solution

The fourth proportional to 16,834, 23,230.44 and 9,280.36 is: 12,806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,834 : 23,230.44 = 9,280.36 : x
  2. Step 2: Convert to fraction form
    16,834/23,230.44 = 9,280.36/x
  3. Step 3: Cross multiply
    16,834x = 23,230.44 × 9,280.36
  4. Step 4: Simplify right side
    16,834x = 215,586,846.16
  5. Step 5: Solve for x
    x = 215,586,846.16/16,834
  6. Step 6: Final answer
    x = 12,806.63

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Why These Related Problems?

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