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Finding the Fourth Proportional to 14,180.43, 21,286.08 and 8,263.74

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Solution

The fourth proportional to 14,180.43, 21,286.08 and 8,263.74 is: 12,404.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180.43 : 21,286.08 = 8,263.74 : x
  2. Step 2: Convert to fraction form
    14,180.43/21,286.08 = 8,263.74/x
  3. Step 3: Cross multiply
    14,180.43x = 21,286.08 × 8,263.74
  4. Step 4: Simplify right side
    14,180.43x = 175,902,630.74
  5. Step 5: Solve for x
    x = 175,902,630.74/14,180.43
  6. Step 6: Final answer
    x = 12,404.60

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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.