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Finding the Fourth Proportional to 13,453.26, 18,580.96 and 8,969.20

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Solution

The fourth proportional to 13,453.26, 18,580.96 and 8,969.20 is: 12,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.26 : 18,580.96 = 8,969.20 : x
  2. Step 2: Convert to fraction form
    13,453.26/18,580.96 = 8,969.20/x
  3. Step 3: Cross multiply
    13,453.26x = 18,580.96 × 8,969.20
  4. Step 4: Simplify right side
    13,453.26x = 166,656,311.19
  5. Step 5: Solve for x
    x = 166,656,311.19/13,453.26
  6. Step 6: Final answer
    x = 12,387.80

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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.