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Finding the Fourth Proportional to 27,927.36, 41,884.96 and 9,918

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Solution

The fourth proportional to 27,927.36, 41,884.96 and 9,918 is: 14,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,927.36 : 41,884.96 = 9,918 : x
  2. Step 2: Convert to fraction form
    27,927.36/41,884.96 = 9,918/x
  3. Step 3: Cross multiply
    27,927.36x = 41,884.96 × 9,918
  4. Step 4: Simplify right side
    27,927.36x = 415,415,033.28
  5. Step 5: Solve for x
    x = 415,415,033.28/27,927.36
  6. Step 6: Final answer
    x = 14,874.84

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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.