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Finding the Fourth Proportional to 27,757.26, 41,631.72 and 10,222.98

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Solution

The fourth proportional to 27,757.26, 41,631.72 and 10,222.98 is: 15,332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,757.26 : 41,631.72 = 10,222.98 : x
  2. Step 2: Convert to fraction form
    27,757.26/41,631.72 = 10,222.98/x
  3. Step 3: Cross multiply
    27,757.26x = 41,631.72 × 10,222.98
  4. Step 4: Simplify right side
    27,757.26x = 425,600,240.93
  5. Step 5: Solve for x
    x = 425,600,240.93/27,757.26
  6. Step 6: Final answer
    x = 15,332.93

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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.