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Finding the Fourth Proportional to 27,423.73, 41,138.99 and 9,650.21

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Solution

The fourth proportional to 27,423.73, 41,138.99 and 9,650.21 is: 14,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,423.73 : 41,138.99 = 9,650.21 : x
  2. Step 2: Convert to fraction form
    27,423.73/41,138.99 = 9,650.21/x
  3. Step 3: Cross multiply
    27,423.73x = 41,138.99 × 9,650.21
  4. Step 4: Simplify right side
    27,423.73x = 396,999,674.93
  5. Step 5: Solve for x
    x = 396,999,674.93/27,423.73
  6. Step 6: Final answer
    x = 14,476.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.