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Finding the Fourth Proportional to 24,192, 36,290.24 and 8,394.56

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Solution

The fourth proportional to 24,192, 36,290.24 and 8,394.56 is: 12,592.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,192 : 36,290.24 = 8,394.56 : x
  2. Step 2: Convert to fraction form
    24,192/36,290.24 = 8,394.56/x
  3. Step 3: Cross multiply
    24,192x = 36,290.24 × 8,394.56
  4. Step 4: Simplify right side
    24,192x = 304,640,597.09
  5. Step 5: Solve for x
    x = 304,640,597.09/24,192
  6. Step 6: Final answer
    x = 12,592.62

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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.