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Finding the Fourth Proportional to 14,872.32, 20,523.92 and 8,157.88

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Solution

The fourth proportional to 14,872.32, 20,523.92 and 8,157.88 is: 11,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.32 : 20,523.92 = 8,157.88 : x
  2. Step 2: Convert to fraction form
    14,872.32/20,523.92 = 8,157.88/x
  3. Step 3: Cross multiply
    14,872.32x = 20,523.92 × 8,157.88
  4. Step 4: Simplify right side
    14,872.32x = 167,431,676.49
  5. Step 5: Solve for x
    x = 167,431,676.49/14,872.32
  6. Step 6: Final answer
    x = 11,257.94

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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.