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Finding the Fourth Proportional to 22,380.96, 30,872.84 and 13,423.26

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Solution

The fourth proportional to 22,380.96, 30,872.84 and 13,423.26 is: 18,516.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380.96 : 30,872.84 = 13,423.26 : x
  2. Step 2: Convert to fraction form
    22,380.96/30,872.84 = 13,423.26/x
  3. Step 3: Cross multiply
    22,380.96x = 30,872.84 × 13,423.26
  4. Step 4: Simplify right side
    22,380.96x = 414,414,091.14
  5. Step 5: Solve for x
    x = 414,414,091.14/22,380.96
  6. Step 6: Final answer
    x = 18,516.37

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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.