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Finding the Fourth Proportional to 21,234.96, 31,842.72 and 12,474

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Solution

The fourth proportional to 21,234.96, 31,842.72 and 12,474 is: 18,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.96 : 31,842.72 = 12,474 : x
  2. Step 2: Convert to fraction form
    21,234.96/31,842.72 = 12,474/x
  3. Step 3: Cross multiply
    21,234.96x = 31,842.72 × 12,474
  4. Step 4: Simplify right side
    21,234.96x = 397,206,089.28
  5. Step 5: Solve for x
    x = 397,206,089.28/21,234.96
  6. Step 6: Final answer
    x = 18,705.29

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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.