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Finding the Fourth Proportional to 23,034.41, 34,558.92 and 8,243

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Solution

The fourth proportional to 23,034.41, 34,558.92 and 8,243 is: 12,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,034.41 : 34,558.92 = 8,243 : x
  2. Step 2: Convert to fraction form
    23,034.41/34,558.92 = 8,243/x
  3. Step 3: Cross multiply
    23,034.41x = 34,558.92 × 8,243
  4. Step 4: Simplify right side
    23,034.41x = 284,869,177.56
  5. Step 5: Solve for x
    x = 284,869,177.56/23,034.41
  6. Step 6: Final answer
    x = 12,367.11

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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.