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Finding the Fourth Proportional to 25,084, 34,617 and 13,906

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Solution

The fourth proportional to 25,084, 34,617 and 13,906 is: 19,190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,084 : 34,617 = 13,906 : x
  2. Step 2: Convert to fraction form
    25,084/34,617 = 13,906/x
  3. Step 3: Cross multiply
    25,084x = 34,617 × 13,906
  4. Step 4: Simplify right side
    25,084x = 481,384,002
  5. Step 5: Solve for x
    x = 481,384,002/25,084
  6. Step 6: Final answer
    x = 19,190.88

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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.