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Finding the Fourth Proportional to 20,157.82, 27,818.04 and 11,205.88

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Solution

The fourth proportional to 20,157.82, 27,818.04 and 11,205.88 is: 15,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.82 : 27,818.04 = 11,205.88 : x
  2. Step 2: Convert to fraction form
    20,157.82/27,818.04 = 11,205.88/x
  3. Step 3: Cross multiply
    20,157.82x = 27,818.04 × 11,205.88
  4. Step 4: Simplify right side
    20,157.82x = 311,725,618.08
  5. Step 5: Solve for x
    x = 311,725,618.08/20,157.82
  6. Step 6: Final answer
    x = 15,464.25

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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.