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Finding the Fourth Proportional to 27,446.64, 41,166.72 and 10,806

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Solution

The fourth proportional to 27,446.64, 41,166.72 and 10,806 is: 16,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,446.64 : 41,166.72 = 10,806 : x
  2. Step 2: Convert to fraction form
    27,446.64/41,166.72 = 10,806/x
  3. Step 3: Cross multiply
    27,446.64x = 41,166.72 × 10,806
  4. Step 4: Simplify right side
    27,446.64x = 444,847,576.32
  5. Step 5: Solve for x
    x = 444,847,576.32/27,446.64
  6. Step 6: Final answer
    x = 16,207.72

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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.