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Finding the Fourth Proportional to 20,214.23, 27,893.07 and 11,261.07

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Solution

The fourth proportional to 20,214.23, 27,893.07 and 11,261.07 is: 15,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.23 : 27,893.07 = 11,261.07 : x
  2. Step 2: Convert to fraction form
    20,214.23/27,893.07 = 11,261.07/x
  3. Step 3: Cross multiply
    20,214.23x = 27,893.07 × 11,261.07
  4. Step 4: Simplify right side
    20,214.23x = 314,105,813.78
  5. Step 5: Solve for x
    x = 314,105,813.78/20,214.23
  6. Step 6: Final answer
    x = 15,538.85

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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.