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Finding the Fourth Proportional to 13,169.70, 18,189.27 and 9,600.57

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Solution

The fourth proportional to 13,169.70, 18,189.27 and 9,600.57 is: 13,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.70 : 18,189.27 = 9,600.57 : x
  2. Step 2: Convert to fraction form
    13,169.70/18,189.27 = 9,600.57/x
  3. Step 3: Cross multiply
    13,169.70x = 18,189.27 × 9,600.57
  4. Step 4: Simplify right side
    13,169.70x = 174,627,359.88
  5. Step 5: Solve for x
    x = 174,627,359.88/13,169.70
  6. Step 6: Final answer
    x = 13,259.78

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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.