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Finding the Fourth Proportional to 27,827.15, 38,404.13 and 15,892.27

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Solution

The fourth proportional to 27,827.15, 38,404.13 and 15,892.27 is: 21,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,827.15 : 38,404.13 = 15,892.27 : x
  2. Step 2: Convert to fraction form
    27,827.15/38,404.13 = 15,892.27/x
  3. Step 3: Cross multiply
    27,827.15x = 38,404.13 × 15,892.27
  4. Step 4: Simplify right side
    27,827.15x = 610,328,627.60
  5. Step 5: Solve for x
    x = 610,328,627.60/27,827.15
  6. Step 6: Final answer
    x = 21,932.85

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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.