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Finding the Fourth Proportional to 23,822.73, 32,876.64 and 13,212.09

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Solution

The fourth proportional to 23,822.73, 32,876.64 and 13,212.09 is: 18,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.73 : 32,876.64 = 13,212.09 : x
  2. Step 2: Convert to fraction form
    23,822.73/32,876.64 = 13,212.09/x
  3. Step 3: Cross multiply
    23,822.73x = 32,876.64 × 13,212.09
  4. Step 4: Simplify right side
    23,822.73x = 434,369,126.58
  5. Step 5: Solve for x
    x = 434,369,126.58/23,822.73
  6. Step 6: Final answer
    x = 18,233.39

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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.