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Finding the Fourth Proportional to 13,757.64, 20,500.86 and 13,311.60

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Solution

The fourth proportional to 13,757.64, 20,500.86 and 13,311.60 is: 19,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.64 : 20,500.86 = 13,311.60 : x
  2. Step 2: Convert to fraction form
    13,757.64/20,500.86 = 13,311.60/x
  3. Step 3: Cross multiply
    13,757.64x = 20,500.86 × 13,311.60
  4. Step 4: Simplify right side
    13,757.64x = 272,899,247.98
  5. Step 5: Solve for x
    x = 272,899,247.98/13,757.64
  6. Step 6: Final answer
    x = 19,836.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.