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Finding the Fourth Proportional to 25,975, 35,845.50 and 14,797

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Solution

The fourth proportional to 25,975, 35,845.50 and 14,797 is: 20,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,975 : 35,845.50 = 14,797 : x
  2. Step 2: Convert to fraction form
    25,975/35,845.50 = 14,797/x
  3. Step 3: Cross multiply
    25,975x = 35,845.50 × 14,797
  4. Step 4: Simplify right side
    25,975x = 530,405,863.50
  5. Step 5: Solve for x
    x = 530,405,863.50/25,975
  6. Step 6: Final answer
    x = 20,419.86

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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.