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Finding the Fourth Proportional to 13,660.68, 20,488.74 and 3,800.96

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Solution

The fourth proportional to 13,660.68, 20,488.74 and 3,800.96 is: 5,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660.68 : 20,488.74 = 3,800.96 : x
  2. Step 2: Convert to fraction form
    13,660.68/20,488.74 = 3,800.96/x
  3. Step 3: Cross multiply
    13,660.68x = 20,488.74 × 3,800.96
  4. Step 4: Simplify right side
    13,660.68x = 77,876,778.75
  5. Step 5: Solve for x
    x = 77,876,778.75/13,660.68
  6. Step 6: Final answer
    x = 5,700.80

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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.