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Finding the Fourth Proportional to 20,206.89, 27,877.91 and 11,705.90

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Solution

The fourth proportional to 20,206.89, 27,877.91 and 11,705.90 is: 16,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.89 : 27,877.91 = 11,705.90 : x
  2. Step 2: Convert to fraction form
    20,206.89/27,877.91 = 11,705.90/x
  3. Step 3: Cross multiply
    20,206.89x = 27,877.91 × 11,705.90
  4. Step 4: Simplify right side
    20,206.89x = 326,335,828.75
  5. Step 5: Solve for x
    x = 326,335,828.75/20,206.89
  6. Step 6: Final answer
    x = 16,149.73

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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.