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Finding the Fourth Proportional to 27,576.69, 38,049.15 and 17,501.50

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Solution

The fourth proportional to 27,576.69, 38,049.15 and 17,501.50 is: 24,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,576.69 : 38,049.15 = 17,501.50 : x
  2. Step 2: Convert to fraction form
    27,576.69/38,049.15 = 17,501.50/x
  3. Step 3: Cross multiply
    27,576.69x = 38,049.15 × 17,501.50
  4. Step 4: Simplify right side
    27,576.69x = 665,917,198.73
  5. Step 5: Solve for x
    x = 665,917,198.73/27,576.69
  6. Step 6: Final answer
    x = 24,147.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.