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Finding the Fourth Proportional to 14,311.70, 21,467.12 and 3,923.44

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Solution

The fourth proportional to 14,311.70, 21,467.12 and 3,923.44 is: 5,885.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.70 : 21,467.12 = 3,923.44 : x
  2. Step 2: Convert to fraction form
    14,311.70/21,467.12 = 3,923.44/x
  3. Step 3: Cross multiply
    14,311.70x = 21,467.12 × 3,923.44
  4. Step 4: Simplify right side
    14,311.70x = 84,224,957.29
  5. Step 5: Solve for x
    x = 84,224,957.29/14,311.70
  6. Step 6: Final answer
    x = 5,885.04

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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.