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Finding the Fourth Proportional to 17,843.06, 26,763.78 and 7,454

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Solution

The fourth proportional to 17,843.06, 26,763.78 and 7,454 is: 11,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,843.06 : 26,763.78 = 7,454 : x
  2. Step 2: Convert to fraction form
    17,843.06/26,763.78 = 7,454/x
  3. Step 3: Cross multiply
    17,843.06x = 26,763.78 × 7,454
  4. Step 4: Simplify right side
    17,843.06x = 199,497,216.12
  5. Step 5: Solve for x
    x = 199,497,216.12/17,843.06
  6. Step 6: Final answer
    x = 11,180.66

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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.