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Finding the Fourth Proportional to 27,546.55, 41,319.82 and 7,822.54

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Solution

The fourth proportional to 27,546.55, 41,319.82 and 7,822.54 is: 11,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546.55 : 41,319.82 = 7,822.54 : x
  2. Step 2: Convert to fraction form
    27,546.55/41,319.82 = 7,822.54/x
  3. Step 3: Cross multiply
    27,546.55x = 41,319.82 × 7,822.54
  4. Step 4: Simplify right side
    27,546.55x = 323,226,006.17
  5. Step 5: Solve for x
    x = 323,226,006.17/27,546.55
  6. Step 6: Final answer
    x = 11,733.81

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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.