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Finding the Fourth Proportional to 12,989.46, 17,924.97 and 7,324.38

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Solution

The fourth proportional to 12,989.46, 17,924.97 and 7,324.38 is: 10,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.46 : 17,924.97 = 7,324.38 : x
  2. Step 2: Convert to fraction form
    12,989.46/17,924.97 = 7,324.38/x
  3. Step 3: Cross multiply
    12,989.46x = 17,924.97 × 7,324.38
  4. Step 4: Simplify right side
    12,989.46x = 131,289,291.77
  5. Step 5: Solve for x
    x = 131,289,291.77/12,989.46
  6. Step 6: Final answer
    x = 10,107.37

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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.