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Finding the Fourth Proportional to 20,026.12, 27,638.60 and 11,641

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Solution

The fourth proportional to 20,026.12, 27,638.60 and 11,641 is: 16,066.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,026.12 : 27,638.60 = 11,641 : x
  2. Step 2: Convert to fraction form
    20,026.12/27,638.60 = 11,641/x
  3. Step 3: Cross multiply
    20,026.12x = 27,638.60 × 11,641
  4. Step 4: Simplify right side
    20,026.12x = 321,740,942.60
  5. Step 5: Solve for x
    x = 321,740,942.60/20,026.12
  6. Step 6: Final answer
    x = 16,066.06

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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.