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Finding the Fourth Proportional to 25,494.22, 35,181 and 14,164.42

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Solution

The fourth proportional to 25,494.22, 35,181 and 14,164.42 is: 19,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.22 : 35,181 = 14,164.42 : x
  2. Step 2: Convert to fraction form
    25,494.22/35,181 = 14,164.42/x
  3. Step 3: Cross multiply
    25,494.22x = 35,181 × 14,164.42
  4. Step 4: Simplify right side
    25,494.22x = 498,318,460.02
  5. Step 5: Solve for x
    x = 498,318,460.02/25,494.22
  6. Step 6: Final answer
    x = 19,546.33

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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.