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Finding the Fourth Proportional to 13,797.59, 20,694.06 and 3,934.62

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Solution

The fourth proportional to 13,797.59, 20,694.06 and 3,934.62 is: 5,901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.59 : 20,694.06 = 3,934.62 : x
  2. Step 2: Convert to fraction form
    13,797.59/20,694.06 = 3,934.62/x
  3. Step 3: Cross multiply
    13,797.59x = 20,694.06 × 3,934.62
  4. Step 4: Simplify right side
    13,797.59x = 81,423,262.36
  5. Step 5: Solve for x
    x = 81,423,262.36/13,797.59
  6. Step 6: Final answer
    x = 5,901.27

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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.