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Finding the Fourth Proportional to 17,099.75, 25,649.63 and 4,787.75

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Solution

The fourth proportional to 17,099.75, 25,649.63 and 4,787.75 is: 7,181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,099.75 : 25,649.63 = 4,787.75 : x
  2. Step 2: Convert to fraction form
    17,099.75/25,649.63 = 4,787.75/x
  3. Step 3: Cross multiply
    17,099.75x = 25,649.63 × 4,787.75
  4. Step 4: Simplify right side
    17,099.75x = 122,804,016.03
  5. Step 5: Solve for x
    x = 122,804,016.03/17,099.75
  6. Step 6: Final answer
    x = 7,181.63

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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.