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Finding the Fourth Proportional to 17,181.44, 25,769.08 and 7,819.28

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Solution

The fourth proportional to 17,181.44, 25,769.08 and 7,819.28 is: 11,727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,181.44 : 25,769.08 = 7,819.28 : x
  2. Step 2: Convert to fraction form
    17,181.44/25,769.08 = 7,819.28/x
  3. Step 3: Cross multiply
    17,181.44x = 25,769.08 × 7,819.28
  4. Step 4: Simplify right side
    17,181.44x = 201,495,651.86
  5. Step 5: Solve for x
    x = 201,495,651.86/17,181.44
  6. Step 6: Final answer
    x = 11,727.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.