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Finding the Fourth Proportional to 17,761.92, 24,514.56 and 10,310.40

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Solution

The fourth proportional to 17,761.92, 24,514.56 and 10,310.40 is: 14,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.92 : 24,514.56 = 10,310.40 : x
  2. Step 2: Convert to fraction form
    17,761.92/24,514.56 = 10,310.40/x
  3. Step 3: Cross multiply
    17,761.92x = 24,514.56 × 10,310.40
  4. Step 4: Simplify right side
    17,761.92x = 252,754,919.42
  5. Step 5: Solve for x
    x = 252,754,919.42/17,761.92
  6. Step 6: Final answer
    x = 14,230.16

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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.