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Finding the Fourth Proportional to 23,458.80, 32,372.82 and 12,847.80

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Solution

The fourth proportional to 23,458.80, 32,372.82 and 12,847.80 is: 17,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,458.80 : 32,372.82 = 12,847.80 : x
  2. Step 2: Convert to fraction form
    23,458.80/32,372.82 = 12,847.80/x
  3. Step 3: Cross multiply
    23,458.80x = 32,372.82 × 12,847.80
  4. Step 4: Simplify right side
    23,458.80x = 415,919,516.80
  5. Step 5: Solve for x
    x = 415,919,516.80/23,458.80
  6. Step 6: Final answer
    x = 17,729.79

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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.