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Finding the Fourth Proportional to 13,481.64, 20,209.40 and 5,155.25

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Solution

The fourth proportional to 13,481.64, 20,209.40 and 5,155.25 is: 7,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.64 : 20,209.40 = 5,155.25 : x
  2. Step 2: Convert to fraction form
    13,481.64/20,209.40 = 5,155.25/x
  3. Step 3: Cross multiply
    13,481.64x = 20,209.40 × 5,155.25
  4. Step 4: Simplify right side
    13,481.64x = 104,184,401.86
  5. Step 5: Solve for x
    x = 104,184,401.86/13,481.64
  6. Step 6: Final answer
    x = 7,727.87

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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.