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Finding the Fourth Proportional to 27,511.12, 41,253.90 and 13,471.84

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Solution

The fourth proportional to 27,511.12, 41,253.90 and 13,471.84 is: 20,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,511.12 : 41,253.90 = 13,471.84 : x
  2. Step 2: Convert to fraction form
    27,511.12/41,253.90 = 13,471.84/x
  3. Step 3: Cross multiply
    27,511.12x = 41,253.90 × 13,471.84
  4. Step 4: Simplify right side
    27,511.12x = 555,765,940.18
  5. Step 5: Solve for x
    x = 555,765,940.18/27,511.12
  6. Step 6: Final answer
    x = 20,201.50

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Why These Related Problems?

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