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Finding the Fourth Proportional to 27,676.80, 41,515.92 and 10,141.92

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Solution

The fourth proportional to 27,676.80, 41,515.92 and 10,141.92 is: 15,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.80 : 41,515.92 = 10,141.92 : x
  2. Step 2: Convert to fraction form
    27,676.80/41,515.92 = 10,141.92/x
  3. Step 3: Cross multiply
    27,676.80x = 41,515.92 × 10,141.92
  4. Step 4: Simplify right side
    27,676.80x = 421,051,139.37
  5. Step 5: Solve for x
    x = 421,051,139.37/27,676.80
  6. Step 6: Final answer
    x = 15,213.14

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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.