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Finding the Fourth Proportional to 29,741.36, 41,040.10 and 17,170.16

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Solution

The fourth proportional to 29,741.36, 41,040.10 and 17,170.16 is: 23,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,741.36 : 41,040.10 = 17,170.16 : x
  2. Step 2: Convert to fraction form
    29,741.36/41,040.10 = 17,170.16/x
  3. Step 3: Cross multiply
    29,741.36x = 41,040.10 × 17,170.16
  4. Step 4: Simplify right side
    29,741.36x = 704,665,083.42
  5. Step 5: Solve for x
    x = 704,665,083.42/29,741.36
  6. Step 6: Final answer
    x = 23,693.10

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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.