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Finding the Fourth Proportional to 25,494.96, 35,180.96 and 14,164.80

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Solution

The fourth proportional to 25,494.96, 35,180.96 and 14,164.80 is: 19,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.96 : 35,180.96 = 14,164.80 : x
  2. Step 2: Convert to fraction form
    25,494.96/35,180.96 = 14,164.80/x
  3. Step 3: Cross multiply
    25,494.96x = 35,180.96 × 14,164.80
  4. Step 4: Simplify right side
    25,494.96x = 498,331,262.21
  5. Step 5: Solve for x
    x = 498,331,262.21/25,494.96
  6. Step 6: Final answer
    x = 19,546.27

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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.