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Finding the Fourth Proportional to 17,461.38, 24,124.94 and 12,179.78

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Solution

The fourth proportional to 17,461.38, 24,124.94 and 12,179.78 is: 16,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.38 : 24,124.94 = 12,179.78 : x
  2. Step 2: Convert to fraction form
    17,461.38/24,124.94 = 12,179.78/x
  3. Step 3: Cross multiply
    17,461.38x = 24,124.94 × 12,179.78
  4. Step 4: Simplify right side
    17,461.38x = 293,836,416.33
  5. Step 5: Solve for x
    x = 293,836,416.33/17,461.38
  6. Step 6: Final answer
    x = 16,827.79

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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.