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Finding the Fourth Proportional to 14,439.46, 19,921.94 and 8,471.38

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Solution

The fourth proportional to 14,439.46, 19,921.94 and 8,471.38 is: 11,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,439.46 : 19,921.94 = 8,471.38 : x
  2. Step 2: Convert to fraction form
    14,439.46/19,921.94 = 8,471.38/x
  3. Step 3: Cross multiply
    14,439.46x = 19,921.94 × 8,471.38
  4. Step 4: Simplify right side
    14,439.46x = 168,766,324.08
  5. Step 5: Solve for x
    x = 168,766,324.08/14,439.46
  6. Step 6: Final answer
    x = 11,687.86

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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.