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Finding the Fourth Proportional to 13,866.32, 20,809.20 and 8,014.88

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Solution

The fourth proportional to 13,866.32, 20,809.20 and 8,014.88 is: 12,027.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.32 : 20,809.20 = 8,014.88 : x
  2. Step 2: Convert to fraction form
    13,866.32/20,809.20 = 8,014.88/x
  3. Step 3: Cross multiply
    13,866.32x = 20,809.20 × 8,014.88
  4. Step 4: Simplify right side
    13,866.32x = 166,783,240.90
  5. Step 5: Solve for x
    x = 166,783,240.90/13,866.32
  6. Step 6: Final answer
    x = 12,027.94

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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.