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Finding the Fourth Proportional to 17,371.72, 23,969.28 and 10,300.42

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Solution

The fourth proportional to 17,371.72, 23,969.28 and 10,300.42 is: 14,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,371.72 : 23,969.28 = 10,300.42 : x
  2. Step 2: Convert to fraction form
    17,371.72/23,969.28 = 10,300.42/x
  3. Step 3: Cross multiply
    17,371.72x = 23,969.28 × 10,300.42
  4. Step 4: Simplify right side
    17,371.72x = 246,893,651.10
  5. Step 5: Solve for x
    x = 246,893,651.10/17,371.72
  6. Step 6: Final answer
    x = 14,212.39

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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.