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Finding the Fourth Proportional to 20,157.68, 27,815.60 and 11,204.30

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Solution

The fourth proportional to 20,157.68, 27,815.60 and 11,204.30 is: 15,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.68 : 27,815.60 = 11,204.30 : x
  2. Step 2: Convert to fraction form
    20,157.68/27,815.60 = 11,204.30/x
  3. Step 3: Cross multiply
    20,157.68x = 27,815.60 × 11,204.30
  4. Step 4: Simplify right side
    20,157.68x = 311,654,424.63
  5. Step 5: Solve for x
    x = 311,654,424.63/20,157.68
  6. Step 6: Final answer
    x = 15,460.83

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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.