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Finding the Fourth Proportional to 27,546, 41,319.26 and 10,910.08

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Solution

The fourth proportional to 27,546, 41,319.26 and 10,910.08 is: 16,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546 : 41,319.26 = 10,910.08 : x
  2. Step 2: Convert to fraction form
    27,546/41,319.26 = 10,910.08/x
  3. Step 3: Cross multiply
    27,546x = 41,319.26 × 10,910.08
  4. Step 4: Simplify right side
    27,546x = 450,796,432.14
  5. Step 5: Solve for x
    x = 450,796,432.14/27,546
  6. Step 6: Final answer
    x = 16,365.22

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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.