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Finding the Fourth Proportional to 27,668.46, 41,505.27 and 11,024.46

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Solution

The fourth proportional to 27,668.46, 41,505.27 and 11,024.46 is: 16,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,668.46 : 41,505.27 = 11,024.46 : x
  2. Step 2: Convert to fraction form
    27,668.46/41,505.27 = 11,024.46/x
  3. Step 3: Cross multiply
    27,668.46x = 41,505.27 × 11,024.46
  4. Step 4: Simplify right side
    27,668.46x = 457,573,188.90
  5. Step 5: Solve for x
    x = 457,573,188.90/27,668.46
  6. Step 6: Final answer
    x = 16,537.72

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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.