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Finding the Fourth Proportional to 27,898.56, 41,843.23 and 9,178.83

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Solution

The fourth proportional to 27,898.56, 41,843.23 and 9,178.83 is: 13,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,898.56 : 41,843.23 = 9,178.83 : x
  2. Step 2: Convert to fraction form
    27,898.56/41,843.23 = 9,178.83/x
  3. Step 3: Cross multiply
    27,898.56x = 41,843.23 × 9,178.83
  4. Step 4: Simplify right side
    27,898.56x = 384,072,028.79
  5. Step 5: Solve for x
    x = 384,072,028.79/27,898.56
  6. Step 6: Final answer
    x = 13,766.73

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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.