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Finding the Fourth Proportional to 18,980.97, 28,474.18 and 5,834.45

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Solution

The fourth proportional to 18,980.97, 28,474.18 and 5,834.45 is: 8,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,980.97 : 28,474.18 = 5,834.45 : x
  2. Step 2: Convert to fraction form
    18,980.97/28,474.18 = 5,834.45/x
  3. Step 3: Cross multiply
    18,980.97x = 28,474.18 × 5,834.45
  4. Step 4: Simplify right side
    18,980.97x = 166,131,022.54
  5. Step 5: Solve for x
    x = 166,131,022.54/18,980.97
  6. Step 6: Final answer
    x = 8,752.50

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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.