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Finding the Fourth Proportional to 14,738.72, 20,337.14 and 8,449.88

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Solution

The fourth proportional to 14,738.72, 20,337.14 and 8,449.88 is: 11,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738.72 : 20,337.14 = 8,449.88 : x
  2. Step 2: Convert to fraction form
    14,738.72/20,337.14 = 8,449.88/x
  3. Step 3: Cross multiply
    14,738.72x = 20,337.14 × 8,449.88
  4. Step 4: Simplify right side
    14,738.72x = 171,846,311.98
  5. Step 5: Solve for x
    x = 171,846,311.98/14,738.72
  6. Step 6: Final answer
    x = 11,659.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.