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Finding the Fourth Proportional to 13,116.80, 19,675.20 and 3,882.80

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Solution

The fourth proportional to 13,116.80, 19,675.20 and 3,882.80 is: 5,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,116.80 : 19,675.20 = 3,882.80 : x
  2. Step 2: Convert to fraction form
    13,116.80/19,675.20 = 3,882.80/x
  3. Step 3: Cross multiply
    13,116.80x = 19,675.20 × 3,882.80
  4. Step 4: Simplify right side
    13,116.80x = 76,394,866.56
  5. Step 5: Solve for x
    x = 76,394,866.56/13,116.80
  6. Step 6: Final answer
    x = 5,824.20

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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.