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Finding the Fourth Proportional to 12,323.25, 17,006.22 and 6,734.25

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Solution

The fourth proportional to 12,323.25, 17,006.22 and 6,734.25 is: 9,293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.25 : 17,006.22 = 6,734.25 : x
  2. Step 2: Convert to fraction form
    12,323.25/17,006.22 = 6,734.25/x
  3. Step 3: Cross multiply
    12,323.25x = 17,006.22 × 6,734.25
  4. Step 4: Simplify right side
    12,323.25x = 114,524,137.04
  5. Step 5: Solve for x
    x = 114,524,137.04/12,323.25
  6. Step 6: Final answer
    x = 9,293.34

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