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Finding the Fourth Proportional to 27,684.92, 41,534.00 and 8,964.98

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Solution

The fourth proportional to 27,684.92, 41,534.00 and 8,964.98 is: 13,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684.92 : 41,534.00 = 8,964.98 : x
  2. Step 2: Convert to fraction form
    27,684.92/41,534.00 = 8,964.98/x
  3. Step 3: Cross multiply
    27,684.92x = 41,534.00 × 8,964.98
  4. Step 4: Simplify right side
    27,684.92x = 372,351,434.50
  5. Step 5: Solve for x
    x = 372,351,434.50/27,684.92
  6. Step 6: Final answer
    x = 13,449.61

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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.