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Finding the Fourth Proportional to 14,144.50, 19,522.92 and 8,179.63

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Solution

The fourth proportional to 14,144.50, 19,522.92 and 8,179.63 is: 11,289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.50 : 19,522.92 = 8,179.63 : x
  2. Step 2: Convert to fraction form
    14,144.50/19,522.92 = 8,179.63/x
  3. Step 3: Cross multiply
    14,144.50x = 19,522.92 × 8,179.63
  4. Step 4: Simplify right side
    14,144.50x = 159,690,262.12
  5. Step 5: Solve for x
    x = 159,690,262.12/14,144.50
  6. Step 6: Final answer
    x = 11,289.92

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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.