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Finding the Fourth Proportional to 27,832.80, 41,738.83 and 11,187.22

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Solution

The fourth proportional to 27,832.80, 41,738.83 and 11,187.22 is: 16,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.80 : 41,738.83 = 11,187.22 : x
  2. Step 2: Convert to fraction form
    27,832.80/41,738.83 = 11,187.22/x
  3. Step 3: Cross multiply
    27,832.80x = 41,738.83 × 11,187.22
  4. Step 4: Simplify right side
    27,832.80x = 466,941,419.70
  5. Step 5: Solve for x
    x = 466,941,419.70/27,832.80
  6. Step 6: Final answer
    x = 16,776.66

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1.5x scale

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.