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Finding the Fourth Proportional to 13,824.40, 20,736.60 and 9,669.10

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Solution

The fourth proportional to 13,824.40, 20,736.60 and 9,669.10 is: 14,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.40 : 20,736.60 = 9,669.10 : x
  2. Step 2: Convert to fraction form
    13,824.40/20,736.60 = 9,669.10/x
  3. Step 3: Cross multiply
    13,824.40x = 20,736.60 × 9,669.10
  4. Step 4: Simplify right side
    13,824.40x = 200,504,259.06
  5. Step 5: Solve for x
    x = 200,504,259.06/13,824.40
  6. Step 6: Final answer
    x = 14,503.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.