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Finding the Fourth Proportional to 25,644, 35,388.72 and 13,868

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Solution

The fourth proportional to 25,644, 35,388.72 and 13,868 is: 19,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,644 : 35,388.72 = 13,868 : x
  2. Step 2: Convert to fraction form
    25,644/35,388.72 = 13,868/x
  3. Step 3: Cross multiply
    25,644x = 35,388.72 × 13,868
  4. Step 4: Simplify right side
    25,644x = 490,770,768.96
  5. Step 5: Solve for x
    x = 490,770,768.96/25,644
  6. Step 6: Final answer
    x = 19,137.84

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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.