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Finding the Fourth Proportional to 12,193.38, 16,838.82 and 10,414.62

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Solution

The fourth proportional to 12,193.38, 16,838.82 and 10,414.62 is: 14,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.38 : 16,838.82 = 10,414.62 : x
  2. Step 2: Convert to fraction form
    12,193.38/16,838.82 = 10,414.62/x
  3. Step 3: Cross multiply
    12,193.38x = 16,838.82 × 10,414.62
  4. Step 4: Simplify right side
    12,193.38x = 175,369,911.55
  5. Step 5: Solve for x
    x = 175,369,911.55/12,193.38
  6. Step 6: Final answer
    x = 14,382.39

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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.