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Finding the Fourth Proportional to 20,314.56, 30,471.84 and 6,463.44

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Solution

The fourth proportional to 20,314.56, 30,471.84 and 6,463.44 is: 9,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.56 : 30,471.84 = 6,463.44 : x
  2. Step 2: Convert to fraction form
    20,314.56/30,471.84 = 6,463.44/x
  3. Step 3: Cross multiply
    20,314.56x = 30,471.84 × 6,463.44
  4. Step 4: Simplify right side
    20,314.56x = 196,952,909.53
  5. Step 5: Solve for x
    x = 196,952,909.53/20,314.56
  6. Step 6: Final answer
    x = 9,695.16

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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.