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Finding the Fourth Proportional to 27,682.74, 41,524.75 and 9,914.61

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Solution

The fourth proportional to 27,682.74, 41,524.75 and 9,914.61 is: 14,872.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.74 : 41,524.75 = 9,914.61 : x
  2. Step 2: Convert to fraction form
    27,682.74/41,524.75 = 9,914.61/x
  3. Step 3: Cross multiply
    27,682.74x = 41,524.75 × 9,914.61
  4. Step 4: Simplify right side
    27,682.74x = 411,701,869.71
  5. Step 5: Solve for x
    x = 411,701,869.71/27,682.74
  6. Step 6: Final answer
    x = 14,872.15

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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.