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Finding the Fourth Proportional to 27,511.50, 37,965.78 and 14,936.16

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Solution

The fourth proportional to 27,511.50, 37,965.78 and 14,936.16 is: 20,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,511.50 : 37,965.78 = 14,936.16 : x
  2. Step 2: Convert to fraction form
    27,511.50/37,965.78 = 14,936.16/x
  3. Step 3: Cross multiply
    27,511.50x = 37,965.78 × 14,936.16
  4. Step 4: Simplify right side
    27,511.50x = 567,062,964.60
  5. Step 5: Solve for x
    x = 567,062,964.60/27,511.50
  6. Step 6: Final answer
    x = 20,611.85

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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.