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Finding the Fourth Proportional to 17,976, 24,807.04 and 10,524.16

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Solution

The fourth proportional to 17,976, 24,807.04 and 10,524.16 is: 14,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,976 : 24,807.04 = 10,524.16 : x
  2. Step 2: Convert to fraction form
    17,976/24,807.04 = 10,524.16/x
  3. Step 3: Cross multiply
    17,976x = 24,807.04 × 10,524.16
  4. Step 4: Simplify right side
    17,976x = 261,073,258.09
  5. Step 5: Solve for x
    x = 261,073,258.09/17,976
  6. Step 6: Final answer
    x = 14,523.43

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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.