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Finding the Fourth Proportional to 14,534.40, 20,056.32 and 8,245.44

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Solution

The fourth proportional to 14,534.40, 20,056.32 and 8,245.44 is: 11,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.40 : 20,056.32 = 8,245.44 : x
  2. Step 2: Convert to fraction form
    14,534.40/20,056.32 = 8,245.44/x
  3. Step 3: Cross multiply
    14,534.40x = 20,056.32 × 8,245.44
  4. Step 4: Simplify right side
    14,534.40x = 165,373,183.18
  5. Step 5: Solve for x
    x = 165,373,183.18/14,534.40
  6. Step 6: Final answer
    x = 11,378.05

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Why These Related Problems?

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