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Finding the Fourth Proportional to 24,405, 33,678.94 and 13,227

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Solution

The fourth proportional to 24,405, 33,678.94 and 13,227 is: 18,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,405 : 33,678.94 = 13,227 : x
  2. Step 2: Convert to fraction form
    24,405/33,678.94 = 13,227/x
  3. Step 3: Cross multiply
    24,405x = 33,678.94 × 13,227
  4. Step 4: Simplify right side
    24,405x = 445,471,339.38
  5. Step 5: Solve for x
    x = 445,471,339.38/24,405
  6. Step 6: Final answer
    x = 18,253.28

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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.