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Finding the Fourth Proportional to 14,309.70, 21,464.12 and 3,921.44

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Solution

The fourth proportional to 14,309.70, 21,464.12 and 3,921.44 is: 5,882.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.70 : 21,464.12 = 3,921.44 : x
  2. Step 2: Convert to fraction form
    14,309.70/21,464.12 = 3,921.44/x
  3. Step 3: Cross multiply
    14,309.70x = 21,464.12 × 3,921.44
  4. Step 4: Simplify right side
    14,309.70x = 84,170,258.73
  5. Step 5: Solve for x
    x = 84,170,258.73/14,309.70
  6. Step 6: Final answer
    x = 5,882.04

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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.