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Finding the Fourth Proportional to 20,134.36, 27,784.02 and 11,181.64

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Solution

The fourth proportional to 20,134.36, 27,784.02 and 11,181.64 is: 15,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.36 : 27,784.02 = 11,181.64 : x
  2. Step 2: Convert to fraction form
    20,134.36/27,784.02 = 11,181.64/x
  3. Step 3: Cross multiply
    20,134.36x = 27,784.02 × 11,181.64
  4. Step 4: Simplify right side
    20,134.36x = 310,670,909.39
  5. Step 5: Solve for x
    x = 310,670,909.39/20,134.36
  6. Step 6: Final answer
    x = 15,429.89

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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.