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Finding the Fourth Proportional to 17,864.57, 24,653.22 and 10,311.22

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Solution

The fourth proportional to 17,864.57, 24,653.22 and 10,311.22 is: 14,229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864.57 : 24,653.22 = 10,311.22 : x
  2. Step 2: Convert to fraction form
    17,864.57/24,653.22 = 10,311.22/x
  3. Step 3: Cross multiply
    17,864.57x = 24,653.22 × 10,311.22
  4. Step 4: Simplify right side
    17,864.57x = 254,204,775.13
  5. Step 5: Solve for x
    x = 254,204,775.13/17,864.57
  6. Step 6: Final answer
    x = 14,229.55

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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.