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Finding the Fourth Proportional to 27,811.43, 41,713.67 and 9,089.90

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Solution

The fourth proportional to 27,811.43, 41,713.67 and 9,089.90 is: 13,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,811.43 : 41,713.67 = 9,089.90 : x
  2. Step 2: Convert to fraction form
    27,811.43/41,713.67 = 9,089.90/x
  3. Step 3: Cross multiply
    27,811.43x = 41,713.67 × 9,089.90
  4. Step 4: Simplify right side
    27,811.43x = 379,173,043.48
  5. Step 5: Solve for x
    x = 379,173,043.48/27,811.43
  6. Step 6: Final answer
    x = 13,633.71

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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.