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Finding the Fourth Proportional to 27,747.63, 38,286.74 and 16,411.48

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Solution

The fourth proportional to 27,747.63, 38,286.74 and 16,411.48 is: 22,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,747.63 : 38,286.74 = 16,411.48 : x
  2. Step 2: Convert to fraction form
    27,747.63/38,286.74 = 16,411.48/x
  3. Step 3: Cross multiply
    27,747.63x = 38,286.74 × 16,411.48
  4. Step 4: Simplify right side
    27,747.63x = 628,342,013.09
  5. Step 5: Solve for x
    x = 628,342,013.09/27,747.63
  6. Step 6: Final answer
    x = 22,644.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.