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Finding the Fourth Proportional to 20,091.80, 27,728.16 and 11,140.10

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Solution

The fourth proportional to 20,091.80, 27,728.16 and 11,140.10 is: 15,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,091.80 : 27,728.16 = 11,140.10 : x
  2. Step 2: Convert to fraction form
    20,091.80/27,728.16 = 11,140.10/x
  3. Step 3: Cross multiply
    20,091.80x = 27,728.16 × 11,140.10
  4. Step 4: Simplify right side
    20,091.80x = 308,894,475.22
  5. Step 5: Solve for x
    x = 308,894,475.22/20,091.80
  6. Step 6: Final answer
    x = 15,374.16

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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.