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Finding the Fourth Proportional to 17,131.78, 23,656.38 and 14,314.19

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Solution

The fourth proportional to 17,131.78, 23,656.38 and 14,314.19 is: 19,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,131.78 : 23,656.38 = 14,314.19 : x
  2. Step 2: Convert to fraction form
    17,131.78/23,656.38 = 14,314.19/x
  3. Step 3: Cross multiply
    17,131.78x = 23,656.38 × 14,314.19
  4. Step 4: Simplify right side
    17,131.78x = 338,621,918.03
  5. Step 5: Solve for x
    x = 338,621,918.03/17,131.78
  6. Step 6: Final answer
    x = 19,765.72

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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.