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Finding the Fourth Proportional to 16,964.80, 23,406.12 and 9,793.80

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Solution

The fourth proportional to 16,964.80, 23,406.12 and 9,793.80 is: 13,512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.80 : 23,406.12 = 9,793.80 : x
  2. Step 2: Convert to fraction form
    16,964.80/23,406.12 = 9,793.80/x
  3. Step 3: Cross multiply
    16,964.80x = 23,406.12 × 9,793.80
  4. Step 4: Simplify right side
    16,964.80x = 229,234,858.06
  5. Step 5: Solve for x
    x = 229,234,858.06/16,964.80
  6. Step 6: Final answer
    x = 13,512.38

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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.