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Finding the Fourth Proportional to 20,131.80, 27,783.64 and 11,181.05

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Solution

The fourth proportional to 20,131.80, 27,783.64 and 11,181.05 is: 15,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.80 : 27,783.64 = 11,181.05 : x
  2. Step 2: Convert to fraction form
    20,131.80/27,783.64 = 11,181.05/x
  3. Step 3: Cross multiply
    20,131.80x = 27,783.64 × 11,181.05
  4. Step 4: Simplify right side
    20,131.80x = 310,650,268.02
  5. Step 5: Solve for x
    x = 310,650,268.02/20,131.80
  6. Step 6: Final answer
    x = 15,430.82

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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.