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Finding the Fourth Proportional to 20,098.94, 27,734.72 and 11,146.42

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Solution

The fourth proportional to 20,098.94, 27,734.72 and 11,146.42 is: 15,381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.94 : 27,734.72 = 11,146.42 : x
  2. Step 2: Convert to fraction form
    20,098.94/27,734.72 = 11,146.42/x
  3. Step 3: Cross multiply
    20,098.94x = 27,734.72 × 11,146.42
  4. Step 4: Simplify right side
    20,098.94x = 309,142,723.33
  5. Step 5: Solve for x
    x = 309,142,723.33/20,098.94
  6. Step 6: Final answer
    x = 15,381.05

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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.