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Finding the Fourth Proportional to 20,092.30, 27,728.03 and 11,140.64

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Solution

The fourth proportional to 20,092.30, 27,728.03 and 11,140.64 is: 15,374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,092.30 : 27,728.03 = 11,140.64 : x
  2. Step 2: Convert to fraction form
    20,092.30/27,728.03 = 11,140.64/x
  3. Step 3: Cross multiply
    20,092.30x = 27,728.03 × 11,140.64
  4. Step 4: Simplify right side
    20,092.30x = 308,908,000.14
  5. Step 5: Solve for x
    x = 308,908,000.14/20,092.30
  6. Step 6: Final answer
    x = 15,374.45

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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.