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Finding the Fourth Proportional to 20,027.89, 27,638.67 and 11,076

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Solution

The fourth proportional to 20,027.89, 27,638.67 and 11,076 is: 15,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,027.89 : 27,638.67 = 11,076 : x
  2. Step 2: Convert to fraction form
    20,027.89/27,638.67 = 11,076/x
  3. Step 3: Cross multiply
    20,027.89x = 27,638.67 × 11,076
  4. Step 4: Simplify right side
    20,027.89x = 306,125,936.61
  5. Step 5: Solve for x
    x = 306,125,936.61/20,027.89
  6. Step 6: Final answer
    x = 15,284.98

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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.