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Finding the Fourth Proportional to 20,184.56, 27,854.84 and 11,232.44

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Solution

The fourth proportional to 20,184.56, 27,854.84 and 11,232.44 is: 15,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.56 : 27,854.84 = 11,232.44 : x
  2. Step 2: Convert to fraction form
    20,184.56/27,854.84 = 11,232.44/x
  3. Step 3: Cross multiply
    20,184.56x = 27,854.84 × 11,232.44
  4. Step 4: Simplify right side
    20,184.56x = 312,877,819.01
  5. Step 5: Solve for x
    x = 312,877,819.01/20,184.56
  6. Step 6: Final answer
    x = 15,500.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.