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Finding the Fourth Proportional to 13,481.60, 20,215.20 and 5,681.60

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Solution

The fourth proportional to 13,481.60, 20,215.20 and 5,681.60 is: 8,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.60 : 20,215.20 = 5,681.60 : x
  2. Step 2: Convert to fraction form
    13,481.60/20,215.20 = 5,681.60/x
  3. Step 3: Cross multiply
    13,481.60x = 20,215.20 × 5,681.60
  4. Step 4: Simplify right side
    13,481.60x = 114,854,680.32
  5. Step 5: Solve for x
    x = 114,854,680.32/13,481.60
  6. Step 6: Final answer
    x = 8,519.37

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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.