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Finding the Fourth Proportional to 12,177.80, 18,234.30 and 7,771.40

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Solution

The fourth proportional to 12,177.80, 18,234.30 and 7,771.40 is: 11,636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.80 : 18,234.30 = 7,771.40 : x
  2. Step 2: Convert to fraction form
    12,177.80/18,234.30 = 7,771.40/x
  3. Step 3: Cross multiply
    12,177.80x = 18,234.30 × 7,771.40
  4. Step 4: Simplify right side
    12,177.80x = 141,706,039.02
  5. Step 5: Solve for x
    x = 141,706,039.02/12,177.80
  6. Step 6: Final answer
    x = 11,636.42

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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.