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Finding the Fourth Proportional to 17,202.14, 23,739.23 and 9,650.15

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Solution

The fourth proportional to 17,202.14, 23,739.23 and 9,650.15 is: 13,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.14 : 23,739.23 = 9,650.15 : x
  2. Step 2: Convert to fraction form
    17,202.14/23,739.23 = 9,650.15/x
  3. Step 3: Cross multiply
    17,202.14x = 23,739.23 × 9,650.15
  4. Step 4: Simplify right side
    17,202.14x = 229,087,082.13
  5. Step 5: Solve for x
    x = 229,087,082.13/17,202.14
  6. Step 6: Final answer
    x = 13,317.36

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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.