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Finding the Fourth Proportional to 27,707.28, 41,576.04 and 16,043.28

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Solution

The fourth proportional to 27,707.28, 41,576.04 and 16,043.28 is: 24,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,707.28 : 41,576.04 = 16,043.28 : x
  2. Step 2: Convert to fraction form
    27,707.28/41,576.04 = 16,043.28/x
  3. Step 3: Cross multiply
    27,707.28x = 41,576.04 × 16,043.28
  4. Step 4: Simplify right side
    27,707.28x = 667,016,051.01
  5. Step 5: Solve for x
    x = 667,016,051.01/27,707.28
  6. Step 6: Final answer
    x = 24,073.67

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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.