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Finding the Fourth Proportional to 20,155.42, 27,814 and 11,202.84

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Solution

The fourth proportional to 20,155.42, 27,814 and 11,202.84 is: 15,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,155.42 : 27,814 = 11,202.84 : x
  2. Step 2: Convert to fraction form
    20,155.42/27,814 = 11,202.84/x
  3. Step 3: Cross multiply
    20,155.42x = 27,814 × 11,202.84
  4. Step 4: Simplify right side
    20,155.42x = 311,595,791.76
  5. Step 5: Solve for x
    x = 311,595,791.76/20,155.42
  6. Step 6: Final answer
    x = 15,459.65

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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.