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Finding the Fourth Proportional to 27,859.28, 41,741.84 and 13,800.56

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Solution

The fourth proportional to 27,859.28, 41,741.84 and 13,800.56 is: 20,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,859.28 : 41,741.84 = 13,800.56 : x
  2. Step 2: Convert to fraction form
    27,859.28/41,741.84 = 13,800.56/x
  3. Step 3: Cross multiply
    27,859.28x = 41,741.84 × 13,800.56
  4. Step 4: Simplify right side
    27,859.28x = 576,060,767.43
  5. Step 5: Solve for x
    x = 576,060,767.43/27,859.28
  6. Step 6: Final answer
    x = 20,677.52

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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.