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Finding the Fourth Proportional to 13,765.50, 20,645.16 and 3,904.56

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Solution

The fourth proportional to 13,765.50, 20,645.16 and 3,904.56 is: 5,855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.50 : 20,645.16 = 3,904.56 : x
  2. Step 2: Convert to fraction form
    13,765.50/20,645.16 = 3,904.56/x
  3. Step 3: Cross multiply
    13,765.50x = 20,645.16 × 3,904.56
  4. Step 4: Simplify right side
    13,765.50x = 80,610,265.93
  5. Step 5: Solve for x
    x = 80,610,265.93/13,765.50
  6. Step 6: Final answer
    x = 5,855.96

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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.