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Finding the Fourth Proportional to 16,783.22, 23,161.11 and 9,229.88

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Solution

The fourth proportional to 16,783.22, 23,161.11 and 9,229.88 is: 12,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.22 : 23,161.11 = 9,229.88 : x
  2. Step 2: Convert to fraction form
    16,783.22/23,161.11 = 9,229.88/x
  3. Step 3: Cross multiply
    16,783.22x = 23,161.11 × 9,229.88
  4. Step 4: Simplify right side
    16,783.22x = 213,774,265.97
  5. Step 5: Solve for x
    x = 213,774,265.97/16,783.22
  6. Step 6: Final answer
    x = 12,737.38

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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.