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Finding the Fourth Proportional to 12,177.69, 18,253.17 and 7,955.73

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Solution

The fourth proportional to 12,177.69, 18,253.17 and 7,955.73 is: 11,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.69 : 18,253.17 = 7,955.73 : x
  2. Step 2: Convert to fraction form
    12,177.69/18,253.17 = 7,955.73/x
  3. Step 3: Cross multiply
    12,177.69x = 18,253.17 × 7,955.73
  4. Step 4: Simplify right side
    12,177.69x = 145,217,292.16
  5. Step 5: Solve for x
    x = 145,217,292.16/12,177.69
  6. Step 6: Final answer
    x = 11,924.86

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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.