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Finding the Fourth Proportional to 13,966.40, 20,947.20 and 5,196.80

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Solution

The fourth proportional to 13,966.40, 20,947.20 and 5,196.80 is: 7,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966.40 : 20,947.20 = 5,196.80 : x
  2. Step 2: Convert to fraction form
    13,966.40/20,947.20 = 5,196.80/x
  3. Step 3: Cross multiply
    13,966.40x = 20,947.20 × 5,196.80
  4. Step 4: Simplify right side
    13,966.40x = 108,858,408.96
  5. Step 5: Solve for x
    x = 108,858,408.96/13,966.40
  6. Step 6: Final answer
    x = 7,794.31

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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.