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Finding the Fourth Proportional to 16,783.65, 23,161.48 and 9,230.44

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Solution

The fourth proportional to 16,783.65, 23,161.48 and 9,230.44 is: 12,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.65 : 23,161.48 = 9,230.44 : x
  2. Step 2: Convert to fraction form
    16,783.65/23,161.48 = 9,230.44/x
  3. Step 3: Cross multiply
    16,783.65x = 23,161.48 × 9,230.44
  4. Step 4: Simplify right side
    16,783.65x = 213,790,651.45
  5. Step 5: Solve for x
    x = 213,790,651.45/16,783.65
  6. Step 6: Final answer
    x = 12,738.03

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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.