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Finding the Fourth Proportional to 27,416, 41,129.76 and 11,000

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Solution

The fourth proportional to 27,416, 41,129.76 and 11,000 is: 16,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416 : 41,129.76 = 11,000 : x
  2. Step 2: Convert to fraction form
    27,416/41,129.76 = 11,000/x
  3. Step 3: Cross multiply
    27,416x = 41,129.76 × 11,000
  4. Step 4: Simplify right side
    27,416x = 452,427,360
  5. Step 5: Solve for x
    x = 452,427,360/27,416
  6. Step 6: Final answer
    x = 16,502.31

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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.