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Finding the Fourth Proportional to 13,924.57, 20,892.12 and 8,381.83

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Solution

The fourth proportional to 13,924.57, 20,892.12 and 8,381.83 is: 12,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.57 : 20,892.12 = 8,381.83 : x
  2. Step 2: Convert to fraction form
    13,924.57/20,892.12 = 8,381.83/x
  3. Step 3: Cross multiply
    13,924.57x = 20,892.12 × 8,381.83
  4. Step 4: Simplify right side
    13,924.57x = 175,114,198.18
  5. Step 5: Solve for x
    x = 175,114,198.18/13,924.57
  6. Step 6: Final answer
    x = 12,575.91

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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.