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Finding the Fourth Proportional to 25,493.94, 35,181.60 and 14,164.48

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Solution

The fourth proportional to 25,493.94, 35,181.60 and 14,164.48 is: 19,546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,493.94 : 35,181.60 = 14,164.48 : x
  2. Step 2: Convert to fraction form
    25,493.94/35,181.60 = 14,164.48/x
  3. Step 3: Cross multiply
    25,493.94x = 35,181.60 × 14,164.48
  4. Step 4: Simplify right side
    25,493.94x = 498,329,069.57
  5. Step 5: Solve for x
    x = 498,329,069.57/25,493.94
  6. Step 6: Final answer
    x = 19,546.96

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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.