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Finding the Fourth Proportional to 25,636.26, 35,378.02 and 14,458.26

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Solution

The fourth proportional to 25,636.26, 35,378.02 and 14,458.26 is: 19,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,636.26 : 35,378.02 = 14,458.26 : x
  2. Step 2: Convert to fraction form
    25,636.26/35,378.02 = 14,458.26/x
  3. Step 3: Cross multiply
    25,636.26x = 35,378.02 × 14,458.26
  4. Step 4: Simplify right side
    25,636.26x = 511,504,611.45
  5. Step 5: Solve for x
    x = 511,504,611.45/25,636.26
  6. Step 6: Final answer
    x = 19,952.39

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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.