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Finding the Fourth Proportional to 17,198.08, 23,735.25 and 9,645.14

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Solution

The fourth proportional to 17,198.08, 23,735.25 and 9,645.14 is: 13,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,198.08 : 23,735.25 = 9,645.14 : x
  2. Step 2: Convert to fraction form
    17,198.08/23,735.25 = 9,645.14/x
  3. Step 3: Cross multiply
    17,198.08x = 23,735.25 × 9,645.14
  4. Step 4: Simplify right side
    17,198.08x = 228,929,809.19
  5. Step 5: Solve for x
    x = 228,929,809.19/17,198.08
  6. Step 6: Final answer
    x = 13,311.36

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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.