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Finding the Fourth Proportional to 12,334.32, 17,021.32 and 6,745.68

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Solution

The fourth proportional to 12,334.32, 17,021.32 and 6,745.68 is: 9,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.32 : 17,021.32 = 6,745.68 : x
  2. Step 2: Convert to fraction form
    12,334.32/17,021.32 = 6,745.68/x
  3. Step 3: Cross multiply
    12,334.32x = 17,021.32 × 6,745.68
  4. Step 4: Simplify right side
    12,334.32x = 114,820,377.90
  5. Step 5: Solve for x
    x = 114,820,377.90/12,334.32
  6. Step 6: Final answer
    x = 9,309.02

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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.