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Finding the Fourth Proportional to 27,873.50, 41,822.54 and 11,265.96

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Solution

The fourth proportional to 27,873.50, 41,822.54 and 11,265.96 is: 16,903.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873.50 : 41,822.54 = 11,265.96 : x
  2. Step 2: Convert to fraction form
    27,873.50/41,822.54 = 11,265.96/x
  3. Step 3: Cross multiply
    27,873.50x = 41,822.54 × 11,265.96
  4. Step 4: Simplify right side
    27,873.50x = 471,171,062.74
  5. Step 5: Solve for x
    x = 471,171,062.74/27,873.50
  6. Step 6: Final answer
    x = 16,903.91

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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.