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Finding the Fourth Proportional to 12,334.50, 17,021.61 and 6,745.50

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Solution

The fourth proportional to 12,334.50, 17,021.61 and 6,745.50 is: 9,308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.50 : 17,021.61 = 6,745.50 : x
  2. Step 2: Convert to fraction form
    12,334.50/17,021.61 = 6,745.50/x
  3. Step 3: Cross multiply
    12,334.50x = 17,021.61 × 6,745.50
  4. Step 4: Simplify right side
    12,334.50x = 114,819,270.26
  5. Step 5: Solve for x
    x = 114,819,270.26/12,334.50
  6. Step 6: Final answer
    x = 9,308.79

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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.