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Finding the Fourth Proportional to 17,965.92, 24,794.28 and 10,414.20

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Solution

The fourth proportional to 17,965.92, 24,794.28 and 10,414.20 is: 14,372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,965.92 : 24,794.28 = 10,414.20 : x
  2. Step 2: Convert to fraction form
    17,965.92/24,794.28 = 10,414.20/x
  3. Step 3: Cross multiply
    17,965.92x = 24,794.28 × 10,414.20
  4. Step 4: Simplify right side
    17,965.92x = 258,212,590.78
  5. Step 5: Solve for x
    x = 258,212,590.78/17,965.92
  6. Step 6: Final answer
    x = 14,372.36

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1.5x scale

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.