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Finding the Fourth Proportional to 23,107.36, 34,674 and 9,257.44

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Solution

The fourth proportional to 23,107.36, 34,674 and 9,257.44 is: 13,891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.36 : 34,674 = 9,257.44 : x
  2. Step 2: Convert to fraction form
    23,107.36/34,674 = 9,257.44/x
  3. Step 3: Cross multiply
    23,107.36x = 34,674 × 9,257.44
  4. Step 4: Simplify right side
    23,107.36x = 320,992,474.56
  5. Step 5: Solve for x
    x = 320,992,474.56/23,107.36
  6. Step 6: Final answer
    x = 13,891.35

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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.