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Finding the Fourth Proportional to 20,133.56, 27,784.64 and 11,181.64

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Solution

The fourth proportional to 20,133.56, 27,784.64 and 11,181.64 is: 15,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.56 : 27,784.64 = 11,181.64 : x
  2. Step 2: Convert to fraction form
    20,133.56/27,784.64 = 11,181.64/x
  3. Step 3: Cross multiply
    20,133.56x = 27,784.64 × 11,181.64
  4. Step 4: Simplify right side
    20,133.56x = 310,677,842.01
  5. Step 5: Solve for x
    x = 310,677,842.01/20,133.56
  6. Step 6: Final answer
    x = 15,430.84

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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.