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Finding the Fourth Proportional to 17,005.75, 23,467.38 and 9,451.87

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Solution

The fourth proportional to 17,005.75, 23,467.38 and 9,451.87 is: 13,043.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,005.75 : 23,467.38 = 9,451.87 : x
  2. Step 2: Convert to fraction form
    17,005.75/23,467.38 = 9,451.87/x
  3. Step 3: Cross multiply
    17,005.75x = 23,467.38 × 9,451.87
  4. Step 4: Simplify right side
    17,005.75x = 221,810,625.00
  5. Step 5: Solve for x
    x = 221,810,625.00/17,005.75
  6. Step 6: Final answer
    x = 13,043.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.