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Finding the Fourth Proportional to 17,114.09, 23,617.40 and 9,662.09

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Solution

The fourth proportional to 17,114.09, 23,617.40 and 9,662.09 is: 13,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.09 : 23,617.40 = 9,662.09 : x
  2. Step 2: Convert to fraction form
    17,114.09/23,617.40 = 9,662.09/x
  3. Step 3: Cross multiply
    17,114.09x = 23,617.40 × 9,662.09
  4. Step 4: Simplify right side
    17,114.09x = 228,193,277.97
  5. Step 5: Solve for x
    x = 228,193,277.97/17,114.09
  6. Step 6: Final answer
    x = 13,333.65

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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.