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Finding the Fourth Proportional to 13,385.20, 20,072.40 and 4,615.60

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Solution

The fourth proportional to 13,385.20, 20,072.40 and 4,615.60 is: 6,921.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.20 : 20,072.40 = 4,615.60 : x
  2. Step 2: Convert to fraction form
    13,385.20/20,072.40 = 4,615.60/x
  3. Step 3: Cross multiply
    13,385.20x = 20,072.40 × 4,615.60
  4. Step 4: Simplify right side
    13,385.20x = 92,646,169.44
  5. Step 5: Solve for x
    x = 92,646,169.44/13,385.20
  6. Step 6: Final answer
    x = 6,921.54

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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.