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Finding the Fourth Proportional to 20,212.56, 27,893.34 and 11,259.60

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Solution

The fourth proportional to 20,212.56, 27,893.34 and 11,259.60 is: 15,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.56 : 27,893.34 = 11,259.60 : x
  2. Step 2: Convert to fraction form
    20,212.56/27,893.34 = 11,259.60/x
  3. Step 3: Cross multiply
    20,212.56x = 27,893.34 × 11,259.60
  4. Step 4: Simplify right side
    20,212.56x = 314,067,851.06
  5. Step 5: Solve for x
    x = 314,067,851.06/20,212.56
  6. Step 6: Final answer
    x = 15,538.25

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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.