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Finding the Fourth Proportional to 17,275.83, 23,809.38 and 12,997.83

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Solution

The fourth proportional to 17,275.83, 23,809.38 and 12,997.83 is: 17,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,275.83 : 23,809.38 = 12,997.83 : x
  2. Step 2: Convert to fraction form
    17,275.83/23,809.38 = 12,997.83/x
  3. Step 3: Cross multiply
    17,275.83x = 23,809.38 × 12,997.83
  4. Step 4: Simplify right side
    17,275.83x = 309,470,273.65
  5. Step 5: Solve for x
    x = 309,470,273.65/17,275.83
  6. Step 6: Final answer
    x = 17,913.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.