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Finding the Fourth Proportional to 20,145.68, 27,801.53 and 11,193.56

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Solution

The fourth proportional to 20,145.68, 27,801.53 and 11,193.56 is: 15,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145.68 : 27,801.53 = 11,193.56 : x
  2. Step 2: Convert to fraction form
    20,145.68/27,801.53 = 11,193.56/x
  3. Step 3: Cross multiply
    20,145.68x = 27,801.53 × 11,193.56
  4. Step 4: Simplify right side
    20,145.68x = 311,198,094.15
  5. Step 5: Solve for x
    x = 311,198,094.15/20,145.68
  6. Step 6: Final answer
    x = 15,447.39

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Why These Related Problems?

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