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Finding the Fourth Proportional to 16,783.61, 23,161.46 and 9,230.42

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Solution

The fourth proportional to 16,783.61, 23,161.46 and 9,230.42 is: 12,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.61 : 23,161.46 = 9,230.42 : x
  2. Step 2: Convert to fraction form
    16,783.61/23,161.46 = 9,230.42/x
  3. Step 3: Cross multiply
    16,783.61x = 23,161.46 × 9,230.42
  4. Step 4: Simplify right side
    16,783.61x = 213,790,003.61
  5. Step 5: Solve for x
    x = 213,790,003.61/16,783.61
  6. Step 6: Final answer
    x = 12,738.02

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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.