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Finding the Fourth Proportional to 21,964.56, 30,314.64 and 13,471.38

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Solution

The fourth proportional to 21,964.56, 30,314.64 and 13,471.38 is: 18,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,964.56 : 30,314.64 = 13,471.38 : x
  2. Step 2: Convert to fraction form
    21,964.56/30,314.64 = 13,471.38/x
  3. Step 3: Cross multiply
    21,964.56x = 30,314.64 × 13,471.38
  4. Step 4: Simplify right side
    21,964.56x = 408,380,035.00
  5. Step 5: Solve for x
    x = 408,380,035.00/21,964.56
  6. Step 6: Final answer
    x = 18,592.68

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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.