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Finding the Fourth Proportional to 25,805.20, 35,613.96 and 14,626

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Solution

The fourth proportional to 25,805.20, 35,613.96 and 14,626 is: 20,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,805.20 : 35,613.96 = 14,626 : x
  2. Step 2: Convert to fraction form
    25,805.20/35,613.96 = 14,626/x
  3. Step 3: Cross multiply
    25,805.20x = 35,613.96 × 14,626
  4. Step 4: Simplify right side
    25,805.20x = 520,889,778.96
  5. Step 5: Solve for x
    x = 520,889,778.96/25,805.20
  6. Step 6: Final answer
    x = 20,185.46

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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.