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Finding the Fourth Proportional to 13,509.38, 20,274.37 and 10,883.30

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Solution

The fourth proportional to 13,509.38, 20,274.37 and 10,883.30 is: 16,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.38 : 20,274.37 = 10,883.30 : x
  2. Step 2: Convert to fraction form
    13,509.38/20,274.37 = 10,883.30/x
  3. Step 3: Cross multiply
    13,509.38x = 20,274.37 × 10,883.30
  4. Step 4: Simplify right side
    13,509.38x = 220,651,922.44
  5. Step 5: Solve for x
    x = 220,651,922.44/13,509.38
  6. Step 6: Final answer
    x = 16,333.24

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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.