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Finding the Fourth Proportional to 23,772, 32,805.36 and 13,836

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Solution

The fourth proportional to 23,772, 32,805.36 and 13,836 is: 19,093.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772 : 32,805.36 = 13,836 : x
  2. Step 2: Convert to fraction form
    23,772/32,805.36 = 13,836/x
  3. Step 3: Cross multiply
    23,772x = 32,805.36 × 13,836
  4. Step 4: Simplify right side
    23,772x = 453,894,960.96
  5. Step 5: Solve for x
    x = 453,894,960.96/23,772
  6. Step 6: Final answer
    x = 19,093.68

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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.