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Finding the Fourth Proportional to 10,884.80, 16,327.20 and 9,039.60

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Solution

The fourth proportional to 10,884.80, 16,327.20 and 9,039.60 is: 13,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.80 : 16,327.20 = 9,039.60 : x
  2. Step 2: Convert to fraction form
    10,884.80/16,327.20 = 9,039.60/x
  3. Step 3: Cross multiply
    10,884.80x = 16,327.20 × 9,039.60
  4. Step 4: Simplify right side
    10,884.80x = 147,591,357.12
  5. Step 5: Solve for x
    x = 147,591,357.12/10,884.80
  6. Step 6: Final answer
    x = 13,559.40

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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.