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Finding the Fourth Proportional to 17,927.14, 26,892.14 and 5,448.26

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Solution

The fourth proportional to 17,927.14, 26,892.14 and 5,448.26 is: 8,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,927.14 : 26,892.14 = 5,448.26 : x
  2. Step 2: Convert to fraction form
    17,927.14/26,892.14 = 5,448.26/x
  3. Step 3: Cross multiply
    17,927.14x = 26,892.14 × 5,448.26
  4. Step 4: Simplify right side
    17,927.14x = 146,515,370.68
  5. Step 5: Solve for x
    x = 146,515,370.68/17,927.14
  6. Step 6: Final answer
    x = 8,172.82

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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.