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Finding the Fourth Proportional to 13,739.60, 20,609.40 and 6,827.60

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Solution

The fourth proportional to 13,739.60, 20,609.40 and 6,827.60 is: 10,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739.60 : 20,609.40 = 6,827.60 : x
  2. Step 2: Convert to fraction form
    13,739.60/20,609.40 = 6,827.60/x
  3. Step 3: Cross multiply
    13,739.60x = 20,609.40 × 6,827.60
  4. Step 4: Simplify right side
    13,739.60x = 140,712,739.44
  5. Step 5: Solve for x
    x = 140,712,739.44/13,739.60
  6. Step 6: Final answer
    x = 10,241.40

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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.