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Finding the Fourth Proportional to 17,842.91, 26,728.00 and 8,454.47

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Solution

The fourth proportional to 17,842.91, 26,728.00 and 8,454.47 is: 12,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.91 : 26,728.00 = 8,454.47 : x
  2. Step 2: Convert to fraction form
    17,842.91/26,728.00 = 8,454.47/x
  3. Step 3: Cross multiply
    17,842.91x = 26,728.00 × 8,454.47
  4. Step 4: Simplify right side
    17,842.91x = 225,970,919.38
  5. Step 5: Solve for x
    x = 225,970,919.38/17,842.91
  6. Step 6: Final answer
    x = 12,664.47

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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.