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Finding the Fourth Proportional to 27,898.38, 41,842.94 and 9,178.64

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Solution

The fourth proportional to 27,898.38, 41,842.94 and 9,178.64 is: 13,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,898.38 : 41,842.94 = 9,178.64 : x
  2. Step 2: Convert to fraction form
    27,898.38/41,842.94 = 9,178.64/x
  3. Step 3: Cross multiply
    27,898.38x = 41,842.94 × 9,178.64
  4. Step 4: Simplify right side
    27,898.38x = 384,061,282.80
  5. Step 5: Solve for x
    x = 384,061,282.80/27,898.38
  6. Step 6: Final answer
    x = 13,766.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.