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Finding the Fourth Proportional to 13,660.80, 20,490 and 3,799.44

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Solution

The fourth proportional to 13,660.80, 20,490 and 3,799.44 is: 5,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660.80 : 20,490 = 3,799.44 : x
  2. Step 2: Convert to fraction form
    13,660.80/20,490 = 3,799.44/x
  3. Step 3: Cross multiply
    13,660.80x = 20,490 × 3,799.44
  4. Step 4: Simplify right side
    13,660.80x = 77,850,525.60
  5. Step 5: Solve for x
    x = 77,850,525.60/13,660.80
  6. Step 6: Final answer
    x = 5,698.83

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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.