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Finding the Fourth Proportional to 17,971.48, 26,950.20 and 6,874.48

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Solution

The fourth proportional to 17,971.48, 26,950.20 and 6,874.48 is: 10,309.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.48 : 26,950.20 = 6,874.48 : x
  2. Step 2: Convert to fraction form
    17,971.48/26,950.20 = 6,874.48/x
  3. Step 3: Cross multiply
    17,971.48x = 26,950.20 × 6,874.48
  4. Step 4: Simplify right side
    17,971.48x = 185,268,610.90
  5. Step 5: Solve for x
    x = 185,268,610.90/17,971.48
  6. Step 6: Final answer
    x = 10,309.03

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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.