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Finding the Fourth Proportional to 25,493.78, 35,181.39 and 14,164.32

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Solution

The fourth proportional to 25,493.78, 35,181.39 and 14,164.32 is: 19,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,493.78 : 35,181.39 = 14,164.32 : x
  2. Step 2: Convert to fraction form
    25,493.78/35,181.39 = 14,164.32/x
  3. Step 3: Cross multiply
    25,493.78x = 35,181.39 × 14,164.32
  4. Step 4: Simplify right side
    25,493.78x = 498,320,571.38
  5. Step 5: Solve for x
    x = 498,320,571.38/25,493.78
  6. Step 6: Final answer
    x = 19,546.75

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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.