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Finding the Fourth Proportional to 20,146.92, 27,797.76 and 12,581.52

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Solution

The fourth proportional to 20,146.92, 27,797.76 and 12,581.52 is: 17,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.92 : 27,797.76 = 12,581.52 : x
  2. Step 2: Convert to fraction form
    20,146.92/27,797.76 = 12,581.52/x
  3. Step 3: Cross multiply
    20,146.92x = 27,797.76 × 12,581.52
  4. Step 4: Simplify right side
    20,146.92x = 349,738,073.40
  5. Step 5: Solve for x
    x = 349,738,073.40/20,146.92
  6. Step 6: Final answer
    x = 17,359.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.