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Finding the Fourth Proportional to 20,092.85, 27,727.68 and 11,140.27

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Solution

The fourth proportional to 20,092.85, 27,727.68 and 11,140.27 is: 15,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,092.85 : 27,727.68 = 11,140.27 : x
  2. Step 2: Convert to fraction form
    20,092.85/27,727.68 = 11,140.27/x
  3. Step 3: Cross multiply
    20,092.85x = 27,727.68 × 11,140.27
  4. Step 4: Simplify right side
    20,092.85x = 308,893,841.67
  5. Step 5: Solve for x
    x = 308,893,841.67/20,092.85
  6. Step 6: Final answer
    x = 15,373.32

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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.