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Finding the Fourth Proportional to 13,344.90, 20,029.60 and 6,775.80

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Solution

The fourth proportional to 13,344.90, 20,029.60 and 6,775.80 is: 10,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,344.90 : 20,029.60 = 6,775.80 : x
  2. Step 2: Convert to fraction form
    13,344.90/20,029.60 = 6,775.80/x
  3. Step 3: Cross multiply
    13,344.90x = 20,029.60 × 6,775.80
  4. Step 4: Simplify right side
    13,344.90x = 135,716,563.68
  5. Step 5: Solve for x
    x = 135,716,563.68/13,344.90
  6. Step 6: Final answer
    x = 10,169.92

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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.