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Finding the Fourth Proportional to 25,171, 34,736.10 and 13,993

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Solution

The fourth proportional to 25,171, 34,736.10 and 13,993 is: 19,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,171 : 34,736.10 = 13,993 : x
  2. Step 2: Convert to fraction form
    25,171/34,736.10 = 13,993/x
  3. Step 3: Cross multiply
    25,171x = 34,736.10 × 13,993
  4. Step 4: Simplify right side
    25,171x = 486,062,247.30
  5. Step 5: Solve for x
    x = 486,062,247.30/25,171
  6. Step 6: Final answer
    x = 19,310.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.