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Finding the Fourth Proportional to 23,164, 34,725.21 and 8,369.46

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Solution

The fourth proportional to 23,164, 34,725.21 and 8,369.46 is: 12,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164 : 34,725.21 = 8,369.46 : x
  2. Step 2: Convert to fraction form
    23,164/34,725.21 = 8,369.46/x
  3. Step 3: Cross multiply
    23,164x = 34,725.21 × 8,369.46
  4. Step 4: Simplify right side
    23,164x = 290,631,256.09
  5. Step 5: Solve for x
    x = 290,631,256.09/23,164
  6. Step 6: Final answer
    x = 12,546.68

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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.