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Finding the Fourth Proportional to 17,023.96, 23,493.20 and 9,949

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Solution

The fourth proportional to 17,023.96, 23,493.20 and 9,949 is: 13,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023.96 : 23,493.20 = 9,949 : x
  2. Step 2: Convert to fraction form
    17,023.96/23,493.20 = 9,949/x
  3. Step 3: Cross multiply
    17,023.96x = 23,493.20 × 9,949
  4. Step 4: Simplify right side
    17,023.96x = 233,733,846.80
  5. Step 5: Solve for x
    x = 233,733,846.80/17,023.96
  6. Step 6: Final answer
    x = 13,729.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.