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Finding the Fourth Proportional to 20,098.61, 27,736.08 and 11,147.48

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Solution

The fourth proportional to 20,098.61, 27,736.08 and 11,147.48 is: 15,383.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.61 : 27,736.08 = 11,147.48 : x
  2. Step 2: Convert to fraction form
    20,098.61/27,736.08 = 11,147.48/x
  3. Step 3: Cross multiply
    20,098.61x = 27,736.08 × 11,147.48
  4. Step 4: Simplify right side
    20,098.61x = 309,187,397.08
  5. Step 5: Solve for x
    x = 309,187,397.08/20,098.61
  6. Step 6: Final answer
    x = 15,383.52

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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.