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Finding the Fourth Proportional to 17,344.44, 23,920.38 and 13,986

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Solution

The fourth proportional to 17,344.44, 23,920.38 and 13,986 is: 19,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,344.44 : 23,920.38 = 13,986 : x
  2. Step 2: Convert to fraction form
    17,344.44/23,920.38 = 13,986/x
  3. Step 3: Cross multiply
    17,344.44x = 23,920.38 × 13,986
  4. Step 4: Simplify right side
    17,344.44x = 334,550,434.68
  5. Step 5: Solve for x
    x = 334,550,434.68/17,344.44
  6. Step 6: Final answer
    x = 19,288.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.