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Finding the Fourth Proportional to 14,834.56, 20,475.84 and 8,549.44

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Solution

The fourth proportional to 14,834.56, 20,475.84 and 8,549.44 is: 11,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.56 : 20,475.84 = 8,549.44 : x
  2. Step 2: Convert to fraction form
    14,834.56/20,475.84 = 8,549.44/x
  3. Step 3: Cross multiply
    14,834.56x = 20,475.84 × 8,549.44
  4. Step 4: Simplify right side
    14,834.56x = 175,056,965.53
  5. Step 5: Solve for x
    x = 175,056,965.53/14,834.56
  6. Step 6: Final answer
    x = 11,800.62

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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.