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Finding the Fourth Proportional to 16,806.42, 23,198.40 and 9,739.98

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Solution

The fourth proportional to 16,806.42, 23,198.40 and 9,739.98 is: 13,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806.42 : 23,198.40 = 9,739.98 : x
  2. Step 2: Convert to fraction form
    16,806.42/23,198.40 = 9,739.98/x
  3. Step 3: Cross multiply
    16,806.42x = 23,198.40 × 9,739.98
  4. Step 4: Simplify right side
    16,806.42x = 225,951,952.03
  5. Step 5: Solve for x
    x = 225,951,952.03/16,806.42
  6. Step 6: Final answer
    x = 13,444.38

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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.