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Finding the Fourth Proportional to 17,164.84, 25,761.84 and 6,783.88

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Solution

The fourth proportional to 17,164.84, 25,761.84 and 6,783.88 is: 10,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.84 : 25,761.84 = 6,783.88 : x
  2. Step 2: Convert to fraction form
    17,164.84/25,761.84 = 6,783.88/x
  3. Step 3: Cross multiply
    17,164.84x = 25,761.84 × 6,783.88
  4. Step 4: Simplify right side
    17,164.84x = 174,765,231.14
  5. Step 5: Solve for x
    x = 174,765,231.14/17,164.84
  6. Step 6: Final answer
    x = 10,181.58

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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.