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Finding the Fourth Proportional to 27,546.84, 41,323.32 and 8,822.46

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Solution

The fourth proportional to 27,546.84, 41,323.32 and 8,822.46 is: 13,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546.84 : 41,323.32 = 8,822.46 : x
  2. Step 2: Convert to fraction form
    27,546.84/41,323.32 = 8,822.46/x
  3. Step 3: Cross multiply
    27,546.84x = 41,323.32 × 8,822.46
  4. Step 4: Simplify right side
    27,546.84x = 364,573,337.77
  5. Step 5: Solve for x
    x = 364,573,337.77/27,546.84
  6. Step 6: Final answer
    x = 13,234.67

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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.