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Finding the Fourth Proportional to 17,114, 23,617.32 and 9,662.48

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Solution

The fourth proportional to 17,114, 23,617.32 and 9,662.48 is: 13,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114 : 23,617.32 = 9,662.48 : x
  2. Step 2: Convert to fraction form
    17,114/23,617.32 = 9,662.48/x
  3. Step 3: Cross multiply
    17,114x = 23,617.32 × 9,662.48
  4. Step 4: Simplify right side
    17,114x = 228,201,882.15
  5. Step 5: Solve for x
    x = 228,201,882.15/17,114
  6. Step 6: Final answer
    x = 13,334.22

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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.