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Finding the Fourth Proportional to 20,156.10, 27,813.51 and 11,202.54

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Solution

The fourth proportional to 20,156.10, 27,813.51 and 11,202.54 is: 15,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156.10 : 27,813.51 = 11,202.54 : x
  2. Step 2: Convert to fraction form
    20,156.10/27,813.51 = 11,202.54/x
  3. Step 3: Cross multiply
    20,156.10x = 27,813.51 × 11,202.54
  4. Step 4: Simplify right side
    20,156.10x = 311,581,958.32
  5. Step 5: Solve for x
    x = 311,581,958.32/20,156.10
  6. Step 6: Final answer
    x = 15,458.44

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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.