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Finding the Fourth Proportional to 13,857.30, 20,781.78 and 7,279.89

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Solution

The fourth proportional to 13,857.30, 20,781.78 and 7,279.89 is: 10,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.30 : 20,781.78 = 7,279.89 : x
  2. Step 2: Convert to fraction form
    13,857.30/20,781.78 = 7,279.89/x
  3. Step 3: Cross multiply
    13,857.30x = 20,781.78 × 7,279.89
  4. Step 4: Simplify right side
    13,857.30x = 151,289,072.40
  5. Step 5: Solve for x
    x = 151,289,072.40/13,857.30
  6. Step 6: Final answer
    x = 10,917.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.