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Finding the Fourth Proportional to 13,783.40, 20,675.10 and 13,245.80

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Solution

The fourth proportional to 13,783.40, 20,675.10 and 13,245.80 is: 19,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.40 : 20,675.10 = 13,245.80 : x
  2. Step 2: Convert to fraction form
    13,783.40/20,675.10 = 13,245.80/x
  3. Step 3: Cross multiply
    13,783.40x = 20,675.10 × 13,245.80
  4. Step 4: Simplify right side
    13,783.40x = 273,858,239.58
  5. Step 5: Solve for x
    x = 273,858,239.58/13,783.40
  6. Step 6: Final answer
    x = 19,868.70

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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.