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Finding the Fourth Proportional to 17,201.49, 23,736.15 and 9,646.26

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Solution

The fourth proportional to 17,201.49, 23,736.15 and 9,646.26 is: 13,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.49 : 23,736.15 = 9,646.26 : x
  2. Step 2: Convert to fraction form
    17,201.49/23,736.15 = 9,646.26/x
  3. Step 3: Cross multiply
    17,201.49x = 23,736.15 × 9,646.26
  4. Step 4: Simplify right side
    17,201.49x = 228,964,958.16
  5. Step 5: Solve for x
    x = 228,964,958.16/17,201.49
  6. Step 6: Final answer
    x = 13,310.76

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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.