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Finding the Fourth Proportional to 12,179.52, 16,811.34 and 7,144.80

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Solution

The fourth proportional to 12,179.52, 16,811.34 and 7,144.80 is: 9,861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.52 : 16,811.34 = 7,144.80 : x
  2. Step 2: Convert to fraction form
    12,179.52/16,811.34 = 7,144.80/x
  3. Step 3: Cross multiply
    12,179.52x = 16,811.34 × 7,144.80
  4. Step 4: Simplify right side
    12,179.52x = 120,113,662.03
  5. Step 5: Solve for x
    x = 120,113,662.03/12,179.52
  6. Step 6: Final answer
    x = 9,861.94

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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.