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Finding the Fourth Proportional to 17,872.97, 26,804.23 and 6,771.65

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Solution

The fourth proportional to 17,872.97, 26,804.23 and 6,771.65 is: 10,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.97 : 26,804.23 = 6,771.65 : x
  2. Step 2: Convert to fraction form
    17,872.97/26,804.23 = 6,771.65/x
  3. Step 3: Cross multiply
    17,872.97x = 26,804.23 × 6,771.65
  4. Step 4: Simplify right side
    17,872.97x = 181,508,713.13
  5. Step 5: Solve for x
    x = 181,508,713.13/17,872.97
  6. Step 6: Final answer
    x = 10,155.49

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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.