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Finding the Fourth Proportional to 20,098.80, 27,736.08 and 11,146.32

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Solution

The fourth proportional to 20,098.80, 27,736.08 and 11,146.32 is: 15,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.80 : 27,736.08 = 11,146.32 : x
  2. Step 2: Convert to fraction form
    20,098.80/27,736.08 = 11,146.32/x
  3. Step 3: Cross multiply
    20,098.80x = 27,736.08 × 11,146.32
  4. Step 4: Simplify right side
    20,098.80x = 309,155,223.23
  5. Step 5: Solve for x
    x = 309,155,223.23/20,098.80
  6. Step 6: Final answer
    x = 15,381.78

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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.