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Finding the Fourth Proportional to 16,785, 23,163.34 and 9,333

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Solution

The fourth proportional to 16,785, 23,163.34 and 9,333 is: 12,879.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,785 : 23,163.34 = 9,333 : x
  2. Step 2: Convert to fraction form
    16,785/23,163.34 = 9,333/x
  3. Step 3: Cross multiply
    16,785x = 23,163.34 × 9,333
  4. Step 4: Simplify right side
    16,785x = 216,183,452.22
  5. Step 5: Solve for x
    x = 216,183,452.22/16,785
  6. Step 6: Final answer
    x = 12,879.56

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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.