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Finding the Fourth Proportional to 27,628.19, 41,446.13 and 9,853.65

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Solution

The fourth proportional to 27,628.19, 41,446.13 and 9,853.65 is: 14,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,628.19 : 41,446.13 = 9,853.65 : x
  2. Step 2: Convert to fraction form
    27,628.19/41,446.13 = 9,853.65/x
  3. Step 3: Cross multiply
    27,628.19x = 41,446.13 × 9,853.65
  4. Step 4: Simplify right side
    27,628.19x = 408,395,658.87
  5. Step 5: Solve for x
    x = 408,395,658.87/27,628.19
  6. Step 6: Final answer
    x = 14,781.85

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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.