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Finding the Fourth Proportional to 13,760.42, 20,636.66 and 3,900.68

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Solution

The fourth proportional to 13,760.42, 20,636.66 and 3,900.68 is: 5,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.42 : 20,636.66 = 3,900.68 : x
  2. Step 2: Convert to fraction form
    13,760.42/20,636.66 = 3,900.68/x
  3. Step 3: Cross multiply
    13,760.42x = 20,636.66 × 3,900.68
  4. Step 4: Simplify right side
    13,760.42x = 80,497,006.93
  5. Step 5: Solve for x
    x = 80,497,006.93/13,760.42
  6. Step 6: Final answer
    x = 5,849.89

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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.