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Finding the Fourth Proportional to 17,842.43, 26,743.58 and 8,474.78

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Solution

The fourth proportional to 17,842.43, 26,743.58 and 8,474.78 is: 12,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.43 : 26,743.58 = 8,474.78 : x
  2. Step 2: Convert to fraction form
    17,842.43/26,743.58 = 8,474.78/x
  3. Step 3: Cross multiply
    17,842.43x = 26,743.58 × 8,474.78
  4. Step 4: Simplify right side
    17,842.43x = 226,645,823.19
  5. Step 5: Solve for x
    x = 226,645,823.19/17,842.43
  6. Step 6: Final answer
    x = 12,702.64

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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.