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Finding the Fourth Proportional to 17,874.68, 26,820.96 and 8,021

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Solution

The fourth proportional to 17,874.68, 26,820.96 and 8,021 is: 12,035.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.68 : 26,820.96 = 8,021 : x
  2. Step 2: Convert to fraction form
    17,874.68/26,820.96 = 8,021/x
  3. Step 3: Cross multiply
    17,874.68x = 26,820.96 × 8,021
  4. Step 4: Simplify right side
    17,874.68x = 215,130,920.16
  5. Step 5: Solve for x
    x = 215,130,920.16/17,874.68
  6. Step 6: Final answer
    x = 12,035.51

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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.