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Finding the Fourth Proportional to 27,612, 41,423.76 and 11,196

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Solution

The fourth proportional to 27,612, 41,423.76 and 11,196 is: 16,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,612 : 41,423.76 = 11,196 : x
  2. Step 2: Convert to fraction form
    27,612/41,423.76 = 11,196/x
  3. Step 3: Cross multiply
    27,612x = 41,423.76 × 11,196
  4. Step 4: Simplify right side
    27,612x = 463,780,416.96
  5. Step 5: Solve for x
    x = 463,780,416.96/27,612
  6. Step 6: Final answer
    x = 16,796.34

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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.