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Finding the Fourth Proportional to 23,157.66, 34,733.78 and 9,832.64

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Solution

The fourth proportional to 23,157.66, 34,733.78 and 9,832.64 is: 14,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.66 : 34,733.78 = 9,832.64 : x
  2. Step 2: Convert to fraction form
    23,157.66/34,733.78 = 9,832.64/x
  3. Step 3: Cross multiply
    23,157.66x = 34,733.78 × 9,832.64
  4. Step 4: Simplify right side
    23,157.66x = 341,524,705.42
  5. Step 5: Solve for x
    x = 341,524,705.42/23,157.66
  6. Step 6: Final answer
    x = 14,747.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.