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Finding the Fourth Proportional to 13,206.80, 19,765.40 and 8,016.40

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Solution

The fourth proportional to 13,206.80, 19,765.40 and 8,016.40 is: 11,997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.80 : 19,765.40 = 8,016.40 : x
  2. Step 2: Convert to fraction form
    13,206.80/19,765.40 = 8,016.40/x
  3. Step 3: Cross multiply
    13,206.80x = 19,765.40 × 8,016.40
  4. Step 4: Simplify right side
    13,206.80x = 158,447,352.56
  5. Step 5: Solve for x
    x = 158,447,352.56/13,206.80
  6. Step 6: Final answer
    x = 11,997.41

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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.