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Finding the Fourth Proportional to 17,728.46, 24,464.78 and 9,661.94

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Solution

The fourth proportional to 17,728.46, 24,464.78 and 9,661.94 is: 13,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.46 : 24,464.78 = 9,661.94 : x
  2. Step 2: Convert to fraction form
    17,728.46/24,464.78 = 9,661.94/x
  3. Step 3: Cross multiply
    17,728.46x = 24,464.78 × 9,661.94
  4. Step 4: Simplify right side
    17,728.46x = 236,377,236.47
  5. Step 5: Solve for x
    x = 236,377,236.47/17,728.46
  6. Step 6: Final answer
    x = 13,333.21

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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.