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Finding the Fourth Proportional to 17,083.64, 25,625.46 and 6,698.36

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Solution

The fourth proportional to 17,083.64, 25,625.46 and 6,698.36 is: 10,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,083.64 : 25,625.46 = 6,698.36 : x
  2. Step 2: Convert to fraction form
    17,083.64/25,625.46 = 6,698.36/x
  3. Step 3: Cross multiply
    17,083.64x = 25,625.46 × 6,698.36
  4. Step 4: Simplify right side
    17,083.64x = 171,648,556.25
  5. Step 5: Solve for x
    x = 171,648,556.25/17,083.64
  6. Step 6: Final answer
    x = 10,047.54

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