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Finding the Fourth Proportional to 27,276.64, 40,896.76 and 22,018.12

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Solution

The fourth proportional to 27,276.64, 40,896.76 and 22,018.12 is: 33,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,276.64 : 40,896.76 = 22,018.12 : x
  2. Step 2: Convert to fraction form
    27,276.64/40,896.76 = 22,018.12/x
  3. Step 3: Cross multiply
    27,276.64x = 40,896.76 × 22,018.12
  4. Step 4: Simplify right side
    27,276.64x = 900,469,769.29
  5. Step 5: Solve for x
    x = 900,469,769.29/27,276.64
  6. Step 6: Final answer
    x = 33,012.49

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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.