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Finding the Fourth Proportional to 17,889.65, 26,834.52 and 6,202.87

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Solution

The fourth proportional to 17,889.65, 26,834.52 and 6,202.87 is: 9,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,889.65 : 26,834.52 = 6,202.87 : x
  2. Step 2: Convert to fraction form
    17,889.65/26,834.52 = 6,202.87/x
  3. Step 3: Cross multiply
    17,889.65x = 26,834.52 × 6,202.87
  4. Step 4: Simplify right side
    17,889.65x = 166,451,039.07
  5. Step 5: Solve for x
    x = 166,451,039.07/17,889.65
  6. Step 6: Final answer
    x = 9,304.32

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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.