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Finding the Fourth Proportional to 22,379, 30,883.92 and 13,423.24

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Solution

The fourth proportional to 22,379, 30,883.92 and 13,423.24 is: 18,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,379 : 30,883.92 = 13,423.24 : x
  2. Step 2: Convert to fraction form
    22,379/30,883.92 = 13,423.24/x
  3. Step 3: Cross multiply
    22,379x = 30,883.92 × 13,423.24
  4. Step 4: Simplify right side
    22,379x = 414,562,270.30
  5. Step 5: Solve for x
    x = 414,562,270.30/22,379
  6. Step 6: Final answer
    x = 18,524.61

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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.