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Finding the Fourth Proportional to 14,734.44, 20,334.96 and 8,446.68

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Solution

The fourth proportional to 14,734.44, 20,334.96 and 8,446.68 is: 11,657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,734.44 : 20,334.96 = 8,446.68 : x
  2. Step 2: Convert to fraction form
    14,734.44/20,334.96 = 8,446.68/x
  3. Step 3: Cross multiply
    14,734.44x = 20,334.96 × 8,446.68
  4. Step 4: Simplify right side
    14,734.44x = 171,762,899.93
  5. Step 5: Solve for x
    x = 171,762,899.93/14,734.44
  6. Step 6: Final answer
    x = 11,657.24

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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.