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Finding the Fourth Proportional to 20,114.68, 27,758.06 and 11,162.20

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Solution

The fourth proportional to 20,114.68, 27,758.06 and 11,162.20 is: 15,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114.68 : 27,758.06 = 11,162.20 : x
  2. Step 2: Convert to fraction form
    20,114.68/27,758.06 = 11,162.20/x
  3. Step 3: Cross multiply
    20,114.68x = 27,758.06 × 11,162.20
  4. Step 4: Simplify right side
    20,114.68x = 309,841,017.33
  5. Step 5: Solve for x
    x = 309,841,017.33/20,114.68
  6. Step 6: Final answer
    x = 15,403.73

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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.