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Finding the Fourth Proportional to 17,114.31, 23,616.06 and 9,942.36

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Solution

The fourth proportional to 17,114.31, 23,616.06 and 9,942.36 is: 13,719.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.31 : 23,616.06 = 9,942.36 : x
  2. Step 2: Convert to fraction form
    17,114.31/23,616.06 = 9,942.36/x
  3. Step 3: Cross multiply
    17,114.31x = 23,616.06 × 9,942.36
  4. Step 4: Simplify right side
    17,114.31x = 234,799,370.30
  5. Step 5: Solve for x
    x = 234,799,370.30/17,114.31
  6. Step 6: Final answer
    x = 13,719.48

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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.