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Finding the Fourth Proportional to 25,634.25, 35,375.27 and 14,456.25

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Solution

The fourth proportional to 25,634.25, 35,375.27 and 14,456.25 is: 19,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,634.25 : 35,375.27 = 14,456.25 : x
  2. Step 2: Convert to fraction form
    25,634.25/35,375.27 = 14,456.25/x
  3. Step 3: Cross multiply
    25,634.25x = 35,375.27 × 14,456.25
  4. Step 4: Simplify right side
    25,634.25x = 511,393,674.66
  5. Step 5: Solve for x
    x = 511,393,674.66/25,634.25
  6. Step 6: Final answer
    x = 19,949.63

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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.