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Finding the Fourth Proportional to 13,936.40, 20,903.79 and 10,191.97

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Solution

The fourth proportional to 13,936.40, 20,903.79 and 10,191.97 is: 15,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,936.40 : 20,903.79 = 10,191.97 : x
  2. Step 2: Convert to fraction form
    13,936.40/20,903.79 = 10,191.97/x
  3. Step 3: Cross multiply
    13,936.40x = 20,903.79 × 10,191.97
  4. Step 4: Simplify right side
    13,936.40x = 213,050,800.57
  5. Step 5: Solve for x
    x = 213,050,800.57/13,936.40
  6. Step 6: Final answer
    x = 15,287.36

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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.