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Finding the Fourth Proportional to 27,431.40, 41,152.86 and 8,961

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Solution

The fourth proportional to 27,431.40, 41,152.86 and 8,961 is: 13,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.40 : 41,152.86 = 8,961 : x
  2. Step 2: Convert to fraction form
    27,431.40/41,152.86 = 8,961/x
  3. Step 3: Cross multiply
    27,431.40x = 41,152.86 × 8,961
  4. Step 4: Simplify right side
    27,431.40x = 368,770,778.46
  5. Step 5: Solve for x
    x = 368,770,778.46/27,431.40
  6. Step 6: Final answer
    x = 13,443.38

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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.