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Finding the Fourth Proportional to 24,177, 36,285 and 12,493.56

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Solution

The fourth proportional to 24,177, 36,285 and 12,493.56 is: 18,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,177 : 36,285 = 12,493.56 : x
  2. Step 2: Convert to fraction form
    24,177/36,285 = 12,493.56/x
  3. Step 3: Cross multiply
    24,177x = 36,285 × 12,493.56
  4. Step 4: Simplify right side
    24,177x = 453,328,824.60
  5. Step 5: Solve for x
    x = 453,328,824.60/24,177
  6. Step 6: Final answer
    x = 18,750.42

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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.