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Finding the Fourth Proportional to 20,166.98, 27,829.19 and 11,214.15

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Solution

The fourth proportional to 20,166.98, 27,829.19 and 11,214.15 is: 15,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,166.98 : 27,829.19 = 11,214.15 : x
  2. Step 2: Convert to fraction form
    20,166.98/27,829.19 = 11,214.15/x
  3. Step 3: Cross multiply
    20,166.98x = 27,829.19 × 11,214.15
  4. Step 4: Simplify right side
    20,166.98x = 312,080,654.97
  5. Step 5: Solve for x
    x = 312,080,654.97/20,166.98
  6. Step 6: Final answer
    x = 15,474.84

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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.