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Finding the Fourth Proportional to 17,966.38, 24,793.64 and 10,414.18

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Solution

The fourth proportional to 17,966.38, 24,793.64 and 10,414.18 is: 14,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,966.38 : 24,793.64 = 10,414.18 : x
  2. Step 2: Convert to fraction form
    17,966.38/24,793.64 = 10,414.18/x
  3. Step 3: Cross multiply
    17,966.38x = 24,793.64 × 10,414.18
  4. Step 4: Simplify right side
    17,966.38x = 258,205,429.82
  5. Step 5: Solve for x
    x = 258,205,429.82/17,966.38
  6. Step 6: Final answer
    x = 14,371.59

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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.