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Finding the Fourth Proportional to 27,764.65, 41,646.94 and 9,044.65

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Solution

The fourth proportional to 27,764.65, 41,646.94 and 9,044.65 is: 13,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764.65 : 41,646.94 = 9,044.65 : x
  2. Step 2: Convert to fraction form
    27,764.65/41,646.94 = 9,044.65/x
  3. Step 3: Cross multiply
    27,764.65x = 41,646.94 × 9,044.65
  4. Step 4: Simplify right side
    27,764.65x = 376,682,178.08
  5. Step 5: Solve for x
    x = 376,682,178.08/27,764.65
  6. Step 6: Final answer
    x = 13,566.97

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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.