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Finding the Fourth Proportional to 17,842.27, 26,735.60 and 6,742.90

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Solution

The fourth proportional to 17,842.27, 26,735.60 and 6,742.90 is: 10,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.27 : 26,735.60 = 6,742.90 : x
  2. Step 2: Convert to fraction form
    17,842.27/26,735.60 = 6,742.90/x
  3. Step 3: Cross multiply
    17,842.27x = 26,735.60 × 6,742.90
  4. Step 4: Simplify right side
    17,842.27x = 180,275,427.26
  5. Step 5: Solve for x
    x = 180,275,427.26/17,842.27
  6. Step 6: Final answer
    x = 10,103.84

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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.