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Finding the Fourth Proportional to 18,234.96, 27,341.50 and 8,361.87

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Solution

The fourth proportional to 18,234.96, 27,341.50 and 8,361.87 is: 12,537.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,234.96 : 27,341.50 = 8,361.87 : x
  2. Step 2: Convert to fraction form
    18,234.96/27,341.50 = 8,361.87/x
  3. Step 3: Cross multiply
    18,234.96x = 27,341.50 × 8,361.87
  4. Step 4: Simplify right side
    18,234.96x = 228,626,068.61
  5. Step 5: Solve for x
    x = 228,626,068.61/18,234.96
  6. Step 6: Final answer
    x = 12,537.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.