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Finding the Fourth Proportional to 13,645.90, 20,481.84 and 7,076.80

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Solution

The fourth proportional to 13,645.90, 20,481.84 and 7,076.80 is: 10,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.90 : 20,481.84 = 7,076.80 : x
  2. Step 2: Convert to fraction form
    13,645.90/20,481.84 = 7,076.80/x
  3. Step 3: Cross multiply
    13,645.90x = 20,481.84 × 7,076.80
  4. Step 4: Simplify right side
    13,645.90x = 144,945,885.31
  5. Step 5: Solve for x
    x = 144,945,885.31/13,645.90
  6. Step 6: Final answer
    x = 10,621.94

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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.