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Finding the Fourth Proportional to 13,871.32, 20,809.04 and 5,105.60

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Solution

The fourth proportional to 13,871.32, 20,809.04 and 5,105.60 is: 7,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.32 : 20,809.04 = 5,105.60 : x
  2. Step 2: Convert to fraction form
    13,871.32/20,809.04 = 5,105.60/x
  3. Step 3: Cross multiply
    13,871.32x = 20,809.04 × 5,105.60
  4. Step 4: Simplify right side
    13,871.32x = 106,242,634.62
  5. Step 5: Solve for x
    x = 106,242,634.62/13,871.32
  6. Step 6: Final answer
    x = 7,659.16

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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.