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Finding the Fourth Proportional to 17,941.13, 26,918.53 and 8,078.14

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Solution

The fourth proportional to 17,941.13, 26,918.53 and 8,078.14 is: 12,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,941.13 : 26,918.53 = 8,078.14 : x
  2. Step 2: Convert to fraction form
    17,941.13/26,918.53 = 8,078.14/x
  3. Step 3: Cross multiply
    17,941.13x = 26,918.53 × 8,078.14
  4. Step 4: Simplify right side
    17,941.13x = 217,451,653.93
  5. Step 5: Solve for x
    x = 217,451,653.93/17,941.13
  6. Step 6: Final answer
    x = 12,120.29

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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.