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Finding the Fourth Proportional to 22,462.41, 30,996.41 and 12,391.23

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Solution

The fourth proportional to 22,462.41, 30,996.41 and 12,391.23 is: 17,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.41 : 30,996.41 = 12,391.23 : x
  2. Step 2: Convert to fraction form
    22,462.41/30,996.41 = 12,391.23/x
  3. Step 3: Cross multiply
    22,462.41x = 30,996.41 × 12,391.23
  4. Step 4: Simplify right side
    22,462.41x = 384,083,583.53
  5. Step 5: Solve for x
    x = 384,083,583.53/22,462.41
  6. Step 6: Final answer
    x = 17,098.95

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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.