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Finding the Fourth Proportional to 13,720.73, 20,578.70 and 3,857.67

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Solution

The fourth proportional to 13,720.73, 20,578.70 and 3,857.67 is: 5,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.73 : 20,578.70 = 3,857.67 : x
  2. Step 2: Convert to fraction form
    13,720.73/20,578.70 = 3,857.67/x
  3. Step 3: Cross multiply
    13,720.73x = 20,578.70 × 3,857.67
  4. Step 4: Simplify right side
    13,720.73x = 79,385,833.63
  5. Step 5: Solve for x
    x = 79,385,833.63/13,720.73
  6. Step 6: Final answer
    x = 5,785.83

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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.